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Finding the Third Proportional to 78,846 and 115,959

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Solution

The third proportional to 78,846 and 115,959 is: 170,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,846 : 115,959 = 115,959 : x
  2. Step 2: Convert to fraction form
    78,846/115,959 = 115,959/x
  3. Step 3: Cross multiply
    78,846x = 115,959 × 115,959
  4. Step 4: Simplify right side
    78,846x = 13,446,489,681
  5. Step 5: Solve for x
    x = 13,446,489,681/78,846
  6. Step 6: Final answer
    x = 170,541.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.