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Finding the Third Proportional to 34,140 and 51,687

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Solution

The third proportional to 34,140 and 51,687 is: 78,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,140 : 51,687 = 51,687 : x
  2. Step 2: Convert to fraction form
    34,140/51,687 = 51,687/x
  3. Step 3: Cross multiply
    34,140x = 51,687 × 51,687
  4. Step 4: Simplify right side
    34,140x = 2,671,545,969
  5. Step 5: Solve for x
    x = 2,671,545,969/34,140
  6. Step 6: Final answer
    x = 78,252.66

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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.