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Finding the Third Proportional to 542,205 and 811,666.13

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Solution

The third proportional to 542,205 and 811,666.13 is: 1,215,042.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,205 : 811,666.13 = 811,666.13 : x
  2. Step 2: Convert to fraction form
    542,205/811,666.13 = 811,666.13/x
  3. Step 3: Cross multiply
    542,205x = 811,666.13 × 811,666.13
  4. Step 4: Simplify right side
    542,205x = 658,801,898,472.52
  5. Step 5: Solve for x
    x = 658,801,898,472.52/542,205
  6. Step 6: Final answer
    x = 1,215,042.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.