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Finding the Third Proportional to 99,972 and 154,737

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Solution

The third proportional to 99,972 and 154,737 is: 239,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,972 : 154,737 = 154,737 : x
  2. Step 2: Convert to fraction form
    99,972/154,737 = 154,737/x
  3. Step 3: Cross multiply
    99,972x = 154,737 × 154,737
  4. Step 4: Simplify right side
    99,972x = 23,943,539,169
  5. Step 5: Solve for x
    x = 23,943,539,169/99,972
  6. Step 6: Final answer
    x = 239,502.45

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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.