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Finding the Third Proportional to 420,948.75 and 866,713.50

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Solution

The third proportional to 420,948.75 and 866,713.50 is: 1,784,521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,948.75 : 866,713.50 = 866,713.50 : x
  2. Step 2: Convert to fraction form
    420,948.75/866,713.50 = 866,713.50/x
  3. Step 3: Cross multiply
    420,948.75x = 866,713.50 × 866,713.50
  4. Step 4: Simplify right side
    420,948.75x = 751,192,291,082.25
  5. Step 5: Solve for x
    x = 751,192,291,082.25/420,948.75
  6. Step 6: Final answer
    x = 1,784,521.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.