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Finding the Third Proportional to 56,124 and 121,780

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Solution

The third proportional to 56,124 and 121,780 is: 264,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,124 : 121,780 = 121,780 : x
  2. Step 2: Convert to fraction form
    56,124/121,780 = 121,780/x
  3. Step 3: Cross multiply
    56,124x = 121,780 × 121,780
  4. Step 4: Simplify right side
    56,124x = 14,830,368,400
  5. Step 5: Solve for x
    x = 14,830,368,400/56,124
  6. Step 6: Final answer
    x = 264,242.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.