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Finding the Third Proportional to 398,209.50 and 866,403

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Solution

The third proportional to 398,209.50 and 866,403 is: 1,885,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,209.50 : 866,403 = 866,403 : x
  2. Step 2: Convert to fraction form
    398,209.50/866,403 = 866,403/x
  3. Step 3: Cross multiply
    398,209.50x = 866,403 × 866,403
  4. Step 4: Simplify right side
    398,209.50x = 750,654,158,409
  5. Step 5: Solve for x
    x = 750,654,158,409/398,209.50
  6. Step 6: Final answer
    x = 1,885,073.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.