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Finding the Third Proportional to 258,324 and 402,792

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Solution

The third proportional to 258,324 and 402,792 is: 628,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,324 : 402,792 = 402,792 : x
  2. Step 2: Convert to fraction form
    258,324/402,792 = 402,792/x
  3. Step 3: Cross multiply
    258,324x = 402,792 × 402,792
  4. Step 4: Simplify right side
    258,324x = 162,241,395,264
  5. Step 5: Solve for x
    x = 162,241,395,264/258,324
  6. Step 6: Final answer
    x = 628,053.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.