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Finding the Third Proportional to 487,398 and 727,040

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Solution

The third proportional to 487,398 and 727,040 is: 1,084,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,398 : 727,040 = 727,040 : x
  2. Step 2: Convert to fraction form
    487,398/727,040 = 727,040/x
  3. Step 3: Cross multiply
    487,398x = 727,040 × 727,040
  4. Step 4: Simplify right side
    487,398x = 528,587,161,600
  5. Step 5: Solve for x
    x = 528,587,161,600/487,398
  6. Step 6: Final answer
    x = 1,084,508.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.