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Finding the Third Proportional to 55,814 and 121,470

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Solution

The third proportional to 55,814 and 121,470 is: 264,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,814 : 121,470 = 121,470 : x
  2. Step 2: Convert to fraction form
    55,814/121,470 = 121,470/x
  3. Step 3: Cross multiply
    55,814x = 121,470 × 121,470
  4. Step 4: Simplify right side
    55,814x = 14,754,960,900
  5. Step 5: Solve for x
    x = 14,754,960,900/55,814
  6. Step 6: Final answer
    x = 264,359.50

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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.