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Finding the Third Proportional to 316,434.75 and 422,700.75

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Solution

The third proportional to 316,434.75 and 422,700.75 is: 564,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,434.75 : 422,700.75 = 422,700.75 : x
  2. Step 2: Convert to fraction form
    316,434.75/422,700.75 = 422,700.75/x
  3. Step 3: Cross multiply
    316,434.75x = 422,700.75 × 422,700.75
  4. Step 4: Simplify right side
    316,434.75x = 178,675,924,050.56
  5. Step 5: Solve for x
    x = 178,675,924,050.56/316,434.75
  6. Step 6: Final answer
    x = 564,653.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.