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Finding the Third Proportional to 256,434.75 and 665,691.75

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Solution

The third proportional to 256,434.75 and 665,691.75 is: 1,728,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,434.75 : 665,691.75 = 665,691.75 : x
  2. Step 2: Convert to fraction form
    256,434.75/665,691.75 = 665,691.75/x
  3. Step 3: Cross multiply
    256,434.75x = 665,691.75 × 665,691.75
  4. Step 4: Simplify right side
    256,434.75x = 443,145,506,018.06
  5. Step 5: Solve for x
    x = 443,145,506,018.06/256,434.75
  6. Step 6: Final answer
    x = 1,728,102.40

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.