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Finding the Third Proportional to 99,146 and 159,605

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Solution

The third proportional to 99,146 and 159,605 is: 256,931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,146 : 159,605 = 159,605 : x
  2. Step 2: Convert to fraction form
    99,146/159,605 = 159,605/x
  3. Step 3: Cross multiply
    99,146x = 159,605 × 159,605
  4. Step 4: Simplify right side
    99,146x = 25,473,756,025
  5. Step 5: Solve for x
    x = 25,473,756,025/99,146
  6. Step 6: Final answer
    x = 256,931.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.