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Finding the Third Proportional to 149,582 and 318,928

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Solution

The third proportional to 149,582 and 318,928 is: 679,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,582 : 318,928 = 318,928 : x
  2. Step 2: Convert to fraction form
    149,582/318,928 = 318,928/x
  3. Step 3: Cross multiply
    149,582x = 318,928 × 318,928
  4. Step 4: Simplify right side
    149,582x = 101,715,069,184
  5. Step 5: Solve for x
    x = 101,715,069,184/149,582
  6. Step 6: Final answer
    x = 679,995.38

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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.