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Finding the Third Proportional to 100,386 and 161,433

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Solution

The third proportional to 100,386 and 161,433 is: 259,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,386 : 161,433 = 161,433 : x
  2. Step 2: Convert to fraction form
    100,386/161,433 = 161,433/x
  3. Step 3: Cross multiply
    100,386x = 161,433 × 161,433
  4. Step 4: Simplify right side
    100,386x = 26,060,613,489
  5. Step 5: Solve for x
    x = 26,060,613,489/100,386
  6. Step 6: Final answer
    x = 259,604.06

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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.