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Finding the Third Proportional to 208,090.13 and 311,565.38

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Solution

The third proportional to 208,090.13 and 311,565.38 is: 466,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,090.13 : 311,565.38 = 311,565.38 : x
  2. Step 2: Convert to fraction form
    208,090.13/311,565.38 = 311,565.38/x
  3. Step 3: Cross multiply
    208,090.13x = 311,565.38 × 311,565.38
  4. Step 4: Simplify right side
    208,090.13x = 97,072,982,898.89
  5. Step 5: Solve for x
    x = 97,072,982,898.89/208,090.13
  6. Step 6: Final answer
    x = 466,494.90

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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.