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Finding the Third Proportional to 437,580 and 655,641

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Solution

The third proportional to 437,580 and 655,641 is: 982,369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,580 : 655,641 = 655,641 : x
  2. Step 2: Convert to fraction form
    437,580/655,641 = 655,641/x
  3. Step 3: Cross multiply
    437,580x = 655,641 × 655,641
  4. Step 4: Simplify right side
    437,580x = 429,865,120,881
  5. Step 5: Solve for x
    x = 429,865,120,881/437,580
  6. Step 6: Final answer
    x = 982,369.21

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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.