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Finding the Third Proportional to 99,578 and 152,403

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Solution

The third proportional to 99,578 and 152,403 is: 233,251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,578 : 152,403 = 152,403 : x
  2. Step 2: Convert to fraction form
    99,578/152,403 = 152,403/x
  3. Step 3: Cross multiply
    99,578x = 152,403 × 152,403
  4. Step 4: Simplify right side
    99,578x = 23,226,674,409
  5. Step 5: Solve for x
    x = 23,226,674,409/99,578
  6. Step 6: Final answer
    x = 233,251.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.