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Finding the Third Proportional to 57,275 and 118,478

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Solution

The third proportional to 57,275 and 118,478 is: 245,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,275 : 118,478 = 118,478 : x
  2. Step 2: Convert to fraction form
    57,275/118,478 = 118,478/x
  3. Step 3: Cross multiply
    57,275x = 118,478 × 118,478
  4. Step 4: Simplify right side
    57,275x = 14,037,036,484
  5. Step 5: Solve for x
    x = 14,037,036,484/57,275
  6. Step 6: Final answer
    x = 245,081.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.