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Finding the Third Proportional to 28,509 and 60,709

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Solution

The third proportional to 28,509 and 60,709 is: 129,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,509 : 60,709 = 60,709 : x
  2. Step 2: Convert to fraction form
    28,509/60,709 = 60,709/x
  3. Step 3: Cross multiply
    28,509x = 60,709 × 60,709
  4. Step 4: Simplify right side
    28,509x = 3,685,582,681
  5. Step 5: Solve for x
    x = 3,685,582,681/28,509
  6. Step 6: Final answer
    x = 129,277.87

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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.