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Finding the Third Proportional to 78,914 and 115,437

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Solution

The third proportional to 78,914 and 115,437 is: 168,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,914 : 115,437 = 115,437 : x
  2. Step 2: Convert to fraction form
    78,914/115,437 = 115,437/x
  3. Step 3: Cross multiply
    78,914x = 115,437 × 115,437
  4. Step 4: Simplify right side
    78,914x = 13,325,700,969
  5. Step 5: Solve for x
    x = 13,325,700,969/78,914
  6. Step 6: Final answer
    x = 168,863.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.