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Finding the Third Proportional to 412,939.13 and 555,742.13

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Solution

The third proportional to 412,939.13 and 555,742.13 is: 747,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,939.13 : 555,742.13 = 555,742.13 : x
  2. Step 2: Convert to fraction form
    412,939.13/555,742.13 = 555,742.13/x
  3. Step 3: Cross multiply
    412,939.13x = 555,742.13 × 555,742.13
  4. Step 4: Simplify right side
    412,939.13x = 308,849,309,499.52
  5. Step 5: Solve for x
    x = 308,849,309,499.52/412,939.13
  6. Step 6: Final answer
    x = 747,929.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.