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Finding the Third Proportional to 78,402 and 115,755

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Solution

The third proportional to 78,402 and 115,755 is: 170,904.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,402 : 115,755 = 115,755 : x
  2. Step 2: Convert to fraction form
    78,402/115,755 = 115,755/x
  3. Step 3: Cross multiply
    78,402x = 115,755 × 115,755
  4. Step 4: Simplify right side
    78,402x = 13,399,220,025
  5. Step 5: Solve for x
    x = 13,399,220,025/78,402
  6. Step 6: Final answer
    x = 170,904.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.