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Finding the Third Proportional to 77,206.50 and 112,291.50

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Solution

The third proportional to 77,206.50 and 112,291.50 is: 163,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,206.50 : 112,291.50 = 112,291.50 : x
  2. Step 2: Convert to fraction form
    77,206.50/112,291.50 = 112,291.50/x
  3. Step 3: Cross multiply
    77,206.50x = 112,291.50 × 112,291.50
  4. Step 4: Simplify right side
    77,206.50x = 12,609,380,972.25
  5. Step 5: Solve for x
    x = 12,609,380,972.25/77,206.50
  6. Step 6: Final answer
    x = 163,320.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.