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Finding the Third Proportional to 415,660.50 and 644,895

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Solution

The third proportional to 415,660.50 and 644,895 is: 1,000,551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,660.50 : 644,895 = 644,895 : x
  2. Step 2: Convert to fraction form
    415,660.50/644,895 = 644,895/x
  3. Step 3: Cross multiply
    415,660.50x = 644,895 × 644,895
  4. Step 4: Simplify right side
    415,660.50x = 415,889,561,025
  5. Step 5: Solve for x
    x = 415,889,561,025/415,660.50
  6. Step 6: Final answer
    x = 1,000,551.08

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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.