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Finding the Third Proportional to 131,528 and 202,380

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Solution

The third proportional to 131,528 and 202,380 is: 311,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,528 : 202,380 = 202,380 : x
  2. Step 2: Convert to fraction form
    131,528/202,380 = 202,380/x
  3. Step 3: Cross multiply
    131,528x = 202,380 × 202,380
  4. Step 4: Simplify right side
    131,528x = 40,957,664,400
  5. Step 5: Solve for x
    x = 40,957,664,400/131,528
  6. Step 6: Final answer
    x = 311,398.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.