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Finding the Third Proportional to 314,559,129 and 689,584,434

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Solution

The third proportional to 314,559,129 and 689,584,434 is: 1,511,724,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,559,129 : 689,584,434 = 689,584,434 : x
  2. Step 2: Convert to fraction form
    314,559,129/689,584,434 = 689,584,434/x
  3. Step 3: Cross multiply
    314,559,129x = 689,584,434 × 689,584,434
  4. Step 4: Simplify right side
    314,559,129x = 475,526,691,615,100,352
  5. Step 5: Solve for x
    x = 475,526,691,615,100,352/314,559,129
  6. Step 6: Final answer
    x = 1,511,724,339.80

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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.