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Finding the Third Proportional to 129,071 and 282,928

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Solution

The third proportional to 129,071 and 282,928 is: 620,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,071 : 282,928 = 282,928 : x
  2. Step 2: Convert to fraction form
    129,071/282,928 = 282,928/x
  3. Step 3: Cross multiply
    129,071x = 282,928 × 282,928
  4. Step 4: Simplify right side
    129,071x = 80,048,253,184
  5. Step 5: Solve for x
    x = 80,048,253,184/129,071
  6. Step 6: Final answer
    x = 620,187.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.