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Finding the Third Proportional to 78,114 and 170,484

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Solution

The third proportional to 78,114 and 170,484 is: 372,081.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,114 : 170,484 = 170,484 : x
  2. Step 2: Convert to fraction form
    78,114/170,484 = 170,484/x
  3. Step 3: Cross multiply
    78,114x = 170,484 × 170,484
  4. Step 4: Simplify right side
    78,114x = 29,064,794,256
  5. Step 5: Solve for x
    x = 29,064,794,256/78,114
  6. Step 6: Final answer
    x = 372,081.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.