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Finding the Third Proportional to 504,564.50 and 840,909.25

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Solution

The third proportional to 504,564.50 and 840,909.25 is: 1,401,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,564.50 : 840,909.25 = 840,909.25 : x
  2. Step 2: Convert to fraction form
    504,564.50/840,909.25 = 840,909.25/x
  3. Step 3: Cross multiply
    504,564.50x = 840,909.25 × 840,909.25
  4. Step 4: Simplify right side
    504,564.50x = 707,128,366,735.56
  5. Step 5: Solve for x
    x = 707,128,366,735.56/504,564.50
  6. Step 6: Final answer
    x = 1,401,462.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.