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Finding the Third Proportional to 56,159 and 121,066

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Solution

The third proportional to 56,159 and 121,066 is: 260,990.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,159 : 121,066 = 121,066 : x
  2. Step 2: Convert to fraction form
    56,159/121,066 = 121,066/x
  3. Step 3: Cross multiply
    56,159x = 121,066 × 121,066
  4. Step 4: Simplify right side
    56,159x = 14,656,976,356
  5. Step 5: Solve for x
    x = 14,656,976,356/56,159
  6. Step 6: Final answer
    x = 260,990.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.