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Finding the Third Proportional to 457,584 and 699,980

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Solution

The third proportional to 457,584 and 699,980 is: 1,070,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,584 : 699,980 = 699,980 : x
  2. Step 2: Convert to fraction form
    457,584/699,980 = 699,980/x
  3. Step 3: Cross multiply
    457,584x = 699,980 × 699,980
  4. Step 4: Simplify right side
    457,584x = 489,972,000,400
  5. Step 5: Solve for x
    x = 489,972,000,400/457,584
  6. Step 6: Final answer
    x = 1,070,780.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.