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Finding the Third Proportional to 242,142 and 332,385

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Solution

The third proportional to 242,142 and 332,385 is: 456,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,142 : 332,385 = 332,385 : x
  2. Step 2: Convert to fraction form
    242,142/332,385 = 332,385/x
  3. Step 3: Cross multiply
    242,142x = 332,385 × 332,385
  4. Step 4: Simplify right side
    242,142x = 110,479,788,225
  5. Step 5: Solve for x
    x = 110,479,788,225/242,142
  6. Step 6: Final answer
    x = 456,260.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.