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Finding the Third Proportional to 59,340 and 128,478

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Solution

The third proportional to 59,340 and 128,478 is: 278,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,340 : 128,478 = 128,478 : x
  2. Step 2: Convert to fraction form
    59,340/128,478 = 128,478/x
  3. Step 3: Cross multiply
    59,340x = 128,478 × 128,478
  4. Step 4: Simplify right side
    59,340x = 16,506,596,484
  5. Step 5: Solve for x
    x = 16,506,596,484/59,340
  6. Step 6: Final answer
    x = 278,169.81

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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.