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Finding the Third Proportional to 396,312.75 and 530,899.31

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Solution

The third proportional to 396,312.75 and 530,899.31 is: 711,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,312.75 : 530,899.31 = 530,899.31 : x
  2. Step 2: Convert to fraction form
    396,312.75/530,899.31 = 530,899.31/x
  3. Step 3: Cross multiply
    396,312.75x = 530,899.31 × 530,899.31
  4. Step 4: Simplify right side
    396,312.75x = 281,854,080,012.97
  5. Step 5: Solve for x
    x = 281,854,080,012.97/396,312.75
  6. Step 6: Final answer
    x = 711,191.05

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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.