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Finding the Third Proportional to 411,267 and 560,281.50

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Solution

The third proportional to 411,267 and 560,281.50 is: 763,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,267 : 560,281.50 = 560,281.50 : x
  2. Step 2: Convert to fraction form
    411,267/560,281.50 = 560,281.50/x
  3. Step 3: Cross multiply
    411,267x = 560,281.50 × 560,281.50
  4. Step 4: Simplify right side
    411,267x = 313,915,359,242.25
  5. Step 5: Solve for x
    x = 313,915,359,242.25/411,267
  6. Step 6: Final answer
    x = 763,288.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.