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Finding the Third Proportional to 291,528 and 438,192

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Solution

The third proportional to 291,528 and 438,192 is: 658,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,528 : 438,192 = 438,192 : x
  2. Step 2: Convert to fraction form
    291,528/438,192 = 438,192/x
  3. Step 3: Cross multiply
    291,528x = 438,192 × 438,192
  4. Step 4: Simplify right side
    291,528x = 192,012,228,864
  5. Step 5: Solve for x
    x = 192,012,228,864/291,528
  6. Step 6: Final answer
    x = 658,640.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.