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Finding the Third Proportional to 487,428 and 727,068

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Solution

The third proportional to 487,428 and 727,068 is: 1,084,525.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,428 : 727,068 = 727,068 : x
  2. Step 2: Convert to fraction form
    487,428/727,068 = 727,068/x
  3. Step 3: Cross multiply
    487,428x = 727,068 × 727,068
  4. Step 4: Simplify right side
    487,428x = 528,627,876,624
  5. Step 5: Solve for x
    x = 528,627,876,624/487,428
  6. Step 6: Final answer
    x = 1,084,525.05

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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.