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Finding the Third Proportional to 486,388 and 727,639

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Solution

The third proportional to 486,388 and 727,639 is: 1,088,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,388 : 727,639 = 727,639 : x
  2. Step 2: Convert to fraction form
    486,388/727,639 = 727,639/x
  3. Step 3: Cross multiply
    486,388x = 727,639 × 727,639
  4. Step 4: Simplify right side
    486,388x = 529,458,514,321
  5. Step 5: Solve for x
    x = 529,458,514,321/486,388
  6. Step 6: Final answer
    x = 1,088,551.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.