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Finding the Third Proportional to 539,201 and 715,489

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Solution

The third proportional to 539,201 and 715,489 is: 949,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,201 : 715,489 = 715,489 : x
  2. Step 2: Convert to fraction form
    539,201/715,489 = 715,489/x
  3. Step 3: Cross multiply
    539,201x = 715,489 × 715,489
  4. Step 4: Simplify right side
    539,201x = 511,924,509,121
  5. Step 5: Solve for x
    x = 511,924,509,121/539,201
  6. Step 6: Final answer
    x = 949,413.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.