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Finding the Third Proportional to 400,119.75 and 711,425.53

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Solution

The third proportional to 400,119.75 and 711,425.53 is: 1,264,937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,119.75 : 711,425.53 = 711,425.53 : x
  2. Step 2: Convert to fraction form
    400,119.75/711,425.53 = 711,425.53/x
  3. Step 3: Cross multiply
    400,119.75x = 711,425.53 × 711,425.53
  4. Step 4: Simplify right side
    400,119.75x = 506,126,286,514.35
  5. Step 5: Solve for x
    x = 506,126,286,514.35/400,119.75
  6. Step 6: Final answer
    x = 1,264,937.03

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.