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Finding the Third Proportional to 105,657 and 155,251

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Solution

The third proportional to 105,657 and 155,251 is: 228,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,657 : 155,251 = 155,251 : x
  2. Step 2: Convert to fraction form
    105,657/155,251 = 155,251/x
  3. Step 3: Cross multiply
    105,657x = 155,251 × 155,251
  4. Step 4: Simplify right side
    105,657x = 24,102,873,001
  5. Step 5: Solve for x
    x = 24,102,873,001/105,657
  6. Step 6: Final answer
    x = 228,123.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.