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Finding the Third Proportional to 440,926.50 and 644,376

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Solution

The third proportional to 440,926.50 and 644,376 is: 941,699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,926.50 : 644,376 = 644,376 : x
  2. Step 2: Convert to fraction form
    440,926.50/644,376 = 644,376/x
  3. Step 3: Cross multiply
    440,926.50x = 644,376 × 644,376
  4. Step 4: Simplify right side
    440,926.50x = 415,220,429,376
  5. Step 5: Solve for x
    x = 415,220,429,376/440,926.50
  6. Step 6: Final answer
    x = 941,699.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.