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Finding the Third Proportional to 137,829 and 296,775

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Solution

The third proportional to 137,829 and 296,775 is: 639,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,829 : 296,775 = 296,775 : x
  2. Step 2: Convert to fraction form
    137,829/296,775 = 296,775/x
  3. Step 3: Cross multiply
    137,829x = 296,775 × 296,775
  4. Step 4: Simplify right side
    137,829x = 88,075,400,625
  5. Step 5: Solve for x
    x = 88,075,400,625/137,829
  6. Step 6: Final answer
    x = 639,019.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.