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Finding the Third Proportional to 78,798 and 115,605

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Solution

The third proportional to 78,798 and 115,605 is: 169,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,798 : 115,605 = 115,605 : x
  2. Step 2: Convert to fraction form
    78,798/115,605 = 115,605/x
  3. Step 3: Cross multiply
    78,798x = 115,605 × 115,605
  4. Step 4: Simplify right side
    78,798x = 13,364,516,025
  5. Step 5: Solve for x
    x = 13,364,516,025/78,798
  6. Step 6: Final answer
    x = 169,604.76

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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.