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Finding the Third Proportional to 60,302 and 128,612

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Solution

The third proportional to 60,302 and 128,612 is: 274,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,302 : 128,612 = 128,612 : x
  2. Step 2: Convert to fraction form
    60,302/128,612 = 128,612/x
  3. Step 3: Cross multiply
    60,302x = 128,612 × 128,612
  4. Step 4: Simplify right side
    60,302x = 16,541,046,544
  5. Step 5: Solve for x
    x = 16,541,046,544/60,302
  6. Step 6: Final answer
    x = 274,303.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.