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Finding the Third Proportional to 142,792 and 207,495

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Solution

The third proportional to 142,792 and 207,495 is: 301,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,792 : 207,495 = 207,495 : x
  2. Step 2: Convert to fraction form
    142,792/207,495 = 207,495/x
  3. Step 3: Cross multiply
    142,792x = 207,495 × 207,495
  4. Step 4: Simplify right side
    142,792x = 43,054,175,025
  5. Step 5: Solve for x
    x = 43,054,175,025/142,792
  6. Step 6: Final answer
    x = 301,516.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.