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Finding the Third Proportional to 439,951.50 and 613,985.06

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Solution

The third proportional to 439,951.50 and 613,985.06 is: 856,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,951.50 : 613,985.06 = 613,985.06 : x
  2. Step 2: Convert to fraction form
    439,951.50/613,985.06 = 613,985.06/x
  3. Step 3: Cross multiply
    439,951.50x = 613,985.06 × 613,985.06
  4. Step 4: Simplify right side
    439,951.50x = 376,977,656,973.13
  5. Step 5: Solve for x
    x = 376,977,656,973.13/439,951.50
  6. Step 6: Final answer
    x = 856,861.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.