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Finding the Third Proportional to 149,404 and 318,776

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Solution

The third proportional to 149,404 and 318,776 is: 680,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,404 : 318,776 = 318,776 : x
  2. Step 2: Convert to fraction form
    149,404/318,776 = 318,776/x
  3. Step 3: Cross multiply
    149,404x = 318,776 × 318,776
  4. Step 4: Simplify right side
    149,404x = 101,618,138,176
  5. Step 5: Solve for x
    x = 101,618,138,176/149,404
  6. Step 6: Final answer
    x = 680,156.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.