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Finding the Third Proportional to 105,681 and 163,887

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Solution

The third proportional to 105,681 and 163,887 is: 254,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,681 : 163,887 = 163,887 : x
  2. Step 2: Convert to fraction form
    105,681/163,887 = 163,887/x
  3. Step 3: Cross multiply
    105,681x = 163,887 × 163,887
  4. Step 4: Simplify right side
    105,681x = 26,858,948,769
  5. Step 5: Solve for x
    x = 26,858,948,769/105,681
  6. Step 6: Final answer
    x = 254,151.16

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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.