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Finding the Third Proportional to 310,909.50 and 664,479

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Solution

The third proportional to 310,909.50 and 664,479 is: 1,420,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,909.50 : 664,479 = 664,479 : x
  2. Step 2: Convert to fraction form
    310,909.50/664,479 = 664,479/x
  3. Step 3: Cross multiply
    310,909.50x = 664,479 × 664,479
  4. Step 4: Simplify right side
    310,909.50x = 441,532,341,441
  5. Step 5: Solve for x
    x = 441,532,341,441/310,909.50
  6. Step 6: Final answer
    x = 1,420,131.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.