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Finding the Third Proportional to 487,436 and 727,080

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Solution

The third proportional to 487,436 and 727,080 is: 1,084,543.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,436 : 727,080 = 727,080 : x
  2. Step 2: Convert to fraction form
    487,436/727,080 = 727,080/x
  3. Step 3: Cross multiply
    487,436x = 727,080 × 727,080
  4. Step 4: Simplify right side
    487,436x = 528,645,326,400
  5. Step 5: Solve for x
    x = 528,645,326,400/487,436
  6. Step 6: Final answer
    x = 1,084,543.05

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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.