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Finding the Third Proportional to 100,971 and 158,403

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Solution

The third proportional to 100,971 and 158,403 is: 248,502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971 : 158,403 = 158,403 : x
  2. Step 2: Convert to fraction form
    100,971/158,403 = 158,403/x
  3. Step 3: Cross multiply
    100,971x = 158,403 × 158,403
  4. Step 4: Simplify right side
    100,971x = 25,091,510,409
  5. Step 5: Solve for x
    x = 25,091,510,409/100,971
  6. Step 6: Final answer
    x = 248,502.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.