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Finding the Third Proportional to 78,246 and 125,980.31

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Solution

The third proportional to 78,246 and 125,980.31 is: 202,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,246 : 125,980.31 = 125,980.31 : x
  2. Step 2: Convert to fraction form
    78,246/125,980.31 = 125,980.31/x
  3. Step 3: Cross multiply
    78,246x = 125,980.31 × 125,980.31
  4. Step 4: Simplify right side
    78,246x = 15,871,039,137.60
  5. Step 5: Solve for x
    x = 15,871,039,137.60/78,246
  6. Step 6: Final answer
    x = 202,835.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.