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Finding the Third Proportional to 60,776 and 130,636

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Solution

The third proportional to 60,776 and 130,636 is: 280,797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,776 : 130,636 = 130,636 : x
  2. Step 2: Convert to fraction form
    60,776/130,636 = 130,636/x
  3. Step 3: Cross multiply
    60,776x = 130,636 × 130,636
  4. Step 4: Simplify right side
    60,776x = 17,065,764,496
  5. Step 5: Solve for x
    x = 17,065,764,496/60,776
  6. Step 6: Final answer
    x = 280,797.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.