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Finding the Third Proportional to 57,428 and 121,814

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Solution

The third proportional to 57,428 and 121,814 is: 258,387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,428 : 121,814 = 121,814 : x
  2. Step 2: Convert to fraction form
    57,428/121,814 = 121,814/x
  3. Step 3: Cross multiply
    57,428x = 121,814 × 121,814
  4. Step 4: Simplify right side
    57,428x = 14,838,650,596
  5. Step 5: Solve for x
    x = 14,838,650,596/57,428
  6. Step 6: Final answer
    x = 258,387.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.