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Finding the Third Proportional to 78,646 and 125,095

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Solution

The third proportional to 78,646 and 125,095 is: 198,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,646 : 125,095 = 125,095 : x
  2. Step 2: Convert to fraction form
    78,646/125,095 = 125,095/x
  3. Step 3: Cross multiply
    78,646x = 125,095 × 125,095
  4. Step 4: Simplify right side
    78,646x = 15,648,759,025
  5. Step 5: Solve for x
    x = 15,648,759,025/78,646
  6. Step 6: Final answer
    x = 198,977.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.