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Finding the Third Proportional to 486,352 and 727,580

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Solution

The third proportional to 486,352 and 727,580 is: 1,088,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,352 : 727,580 = 727,580 : x
  2. Step 2: Convert to fraction form
    486,352/727,580 = 727,580/x
  3. Step 3: Cross multiply
    486,352x = 727,580 × 727,580
  4. Step 4: Simplify right side
    486,352x = 529,372,656,400
  5. Step 5: Solve for x
    x = 529,372,656,400/486,352
  6. Step 6: Final answer
    x = 1,088,455.80

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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.