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Finding the Third Proportional to 71,860.50 and 121,459.50

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Solution

The third proportional to 71,860.50 and 121,459.50 is: 205,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,860.50 : 121,459.50 = 121,459.50 : x
  2. Step 2: Convert to fraction form
    71,860.50/121,459.50 = 121,459.50/x
  3. Step 3: Cross multiply
    71,860.50x = 121,459.50 × 121,459.50
  4. Step 4: Simplify right side
    71,860.50x = 14,752,410,140.25
  5. Step 5: Solve for x
    x = 14,752,410,140.25/71,860.50
  6. Step 6: Final answer
    x = 205,292.34

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.