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Finding the Third Proportional to 56,769 and 121,685

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Solution

The third proportional to 56,769 and 121,685 is: 260,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,769 : 121,685 = 121,685 : x
  2. Step 2: Convert to fraction form
    56,769/121,685 = 121,685/x
  3. Step 3: Cross multiply
    56,769x = 121,685 × 121,685
  4. Step 4: Simplify right side
    56,769x = 14,807,239,225
  5. Step 5: Solve for x
    x = 14,807,239,225/56,769
  6. Step 6: Final answer
    x = 260,833.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.