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Finding the Third Proportional to 149,796 and 318,060

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Solution

The third proportional to 149,796 and 318,060 is: 675,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,796 : 318,060 = 318,060 : x
  2. Step 2: Convert to fraction form
    149,796/318,060 = 318,060/x
  3. Step 3: Cross multiply
    149,796x = 318,060 × 318,060
  4. Step 4: Simplify right side
    149,796x = 101,162,163,600
  5. Step 5: Solve for x
    x = 101,162,163,600/149,796
  6. Step 6: Final answer
    x = 675,332.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.