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Finding the Third Proportional to 268,672.38 and 431,423.94

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Solution

The third proportional to 268,672.38 and 431,423.94 is: 692,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,672.38 : 431,423.94 = 431,423.94 : x
  2. Step 2: Convert to fraction form
    268,672.38/431,423.94 = 431,423.94/x
  3. Step 3: Cross multiply
    268,672.38x = 431,423.94 × 431,423.94
  4. Step 4: Simplify right side
    268,672.38x = 186,126,613,848.00
  5. Step 5: Solve for x
    x = 186,126,613,848.00/268,672.38
  6. Step 6: Final answer
    x = 692,764.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.