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Finding the Third Proportional to 415,550 and 644,710

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Solution

The third proportional to 415,550 and 644,710 is: 1,000,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,550 : 644,710 = 644,710 : x
  2. Step 2: Convert to fraction form
    415,550/644,710 = 644,710/x
  3. Step 3: Cross multiply
    415,550x = 644,710 × 644,710
  4. Step 4: Simplify right side
    415,550x = 415,650,984,100
  5. Step 5: Solve for x
    x = 415,650,984,100/415,550
  6. Step 6: Final answer
    x = 1,000,243.01

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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.