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Finding the Third Proportional to 314,219,800,408 and 689,274,172,400

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Solution

The third proportional to 314,219,800,408 and 689,274,172,400 is: 1,511,995,374,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,219,800,408 : 689,274,172,400 = 689,274,172,400 : x
  2. Step 2: Convert to fraction form
    314,219,800,408/689,274,172,400 = 689,274,172,400/x
  3. Step 3: Cross multiply
    314,219,800,408x = 689,274,172,400 × 689,274,172,400
  4. Step 4: Simplify right side
    314,219,800,408x = 475,098,884,737,704,914,845,696
  5. Step 5: Solve for x
    x = 475,098,884,737,704,914,845,696/314,219,800,408
  6. Step 6: Final answer
    x = 1,511,995,374,323.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.