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Finding the Third Proportional to 34,280 and 51,785

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Solution

The third proportional to 34,280 and 51,785 is: 78,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,280 : 51,785 = 51,785 : x
  2. Step 2: Convert to fraction form
    34,280/51,785 = 51,785/x
  3. Step 3: Cross multiply
    34,280x = 51,785 × 51,785
  4. Step 4: Simplify right side
    34,280x = 2,681,686,225
  5. Step 5: Solve for x
    x = 2,681,686,225/34,280
  6. Step 6: Final answer
    x = 78,228.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.