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Finding the Third Proportional to 157,902 and 228,561

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Solution

The third proportional to 157,902 and 228,561 is: 330,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,902 : 228,561 = 228,561 : x
  2. Step 2: Convert to fraction form
    157,902/228,561 = 228,561/x
  3. Step 3: Cross multiply
    157,902x = 228,561 × 228,561
  4. Step 4: Simplify right side
    157,902x = 52,240,130,721
  5. Step 5: Solve for x
    x = 52,240,130,721/157,902
  6. Step 6: Final answer
    x = 330,838.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.