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Finding the Third Proportional to 240,406 and 372,228

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Solution

The third proportional to 240,406 and 372,228 is: 576,332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,406 : 372,228 = 372,228 : x
  2. Step 2: Convert to fraction form
    240,406/372,228 = 372,228/x
  3. Step 3: Cross multiply
    240,406x = 372,228 × 372,228
  4. Step 4: Simplify right side
    240,406x = 138,553,683,984
  5. Step 5: Solve for x
    x = 138,553,683,984/240,406
  6. Step 6: Final answer
    x = 576,332.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.