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Finding the Third Proportional to 78,729 and 115,165.50

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Solution

The third proportional to 78,729 and 115,165.50 is: 168,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,729 : 115,165.50 = 115,165.50 : x
  2. Step 2: Convert to fraction form
    78,729/115,165.50 = 115,165.50/x
  3. Step 3: Cross multiply
    78,729x = 115,165.50 × 115,165.50
  4. Step 4: Simplify right side
    78,729x = 13,263,092,390.25
  5. Step 5: Solve for x
    x = 13,263,092,390.25/78,729
  6. Step 6: Final answer
    x = 168,465.14

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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.