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Finding the Third Proportional to 258,070 and 539,792

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Solution

The third proportional to 258,070 and 539,792 is: 1,129,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,070 : 539,792 = 539,792 : x
  2. Step 2: Convert to fraction form
    258,070/539,792 = 539,792/x
  3. Step 3: Cross multiply
    258,070x = 539,792 × 539,792
  4. Step 4: Simplify right side
    258,070x = 291,375,403,264
  5. Step 5: Solve for x
    x = 291,375,403,264/258,070
  6. Step 6: Final answer
    x = 1,129,055.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.