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Finding the Third Proportional to 135,400 and 297,792

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Solution

The third proportional to 135,400 and 297,792 is: 654,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,400 : 297,792 = 297,792 : x
  2. Step 2: Convert to fraction form
    135,400/297,792 = 297,792/x
  3. Step 3: Cross multiply
    135,400x = 297,792 × 297,792
  4. Step 4: Simplify right side
    135,400x = 88,680,075,264
  5. Step 5: Solve for x
    x = 88,680,075,264/135,400
  6. Step 6: Final answer
    x = 654,948.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.