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Finding the Third Proportional to 55,729 and 121,613

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Solution

The third proportional to 55,729 and 121,613 is: 265,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,729 : 121,613 = 121,613 : x
  2. Step 2: Convert to fraction form
    55,729/121,613 = 121,613/x
  3. Step 3: Cross multiply
    55,729x = 121,613 × 121,613
  4. Step 4: Simplify right side
    55,729x = 14,789,721,769
  5. Step 5: Solve for x
    x = 14,789,721,769/55,729
  6. Step 6: Final answer
    x = 265,386.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.