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Finding the Third Proportional to 105,613 and 163,637

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Solution

The third proportional to 105,613 and 163,637 is: 253,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,613 : 163,637 = 163,637 : x
  2. Step 2: Convert to fraction form
    105,613/163,637 = 163,637/x
  3. Step 3: Cross multiply
    105,613x = 163,637 × 163,637
  4. Step 4: Simplify right side
    105,613x = 26,777,067,769
  5. Step 5: Solve for x
    x = 26,777,067,769/105,613
  6. Step 6: Final answer
    x = 253,539.51

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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.