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Finding the Third Proportional to 415,651.50 and 644,881.50

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Solution

The third proportional to 415,651.50 and 644,881.50 is: 1,000,530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,651.50 : 644,881.50 = 644,881.50 : x
  2. Step 2: Convert to fraction form
    415,651.50/644,881.50 = 644,881.50/x
  3. Step 3: Cross multiply
    415,651.50x = 644,881.50 × 644,881.50
  4. Step 4: Simplify right side
    415,651.50x = 415,872,149,042.25
  5. Step 5: Solve for x
    x = 415,872,149,042.25/415,651.50
  6. Step 6: Final answer
    x = 1,000,530.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.