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Finding the Third Proportional to 149,528 and 315,904

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Solution

The third proportional to 149,528 and 315,904 is: 667,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,528 : 315,904 = 315,904 : x
  2. Step 2: Convert to fraction form
    149,528/315,904 = 315,904/x
  3. Step 3: Cross multiply
    149,528x = 315,904 × 315,904
  4. Step 4: Simplify right side
    149,528x = 99,795,337,216
  5. Step 5: Solve for x
    x = 99,795,337,216/149,528
  6. Step 6: Final answer
    x = 667,402.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.