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Finding the Third Proportional to 83,043 and 121,795.50

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Solution

The third proportional to 83,043 and 121,795.50 is: 178,632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,043 : 121,795.50 = 121,795.50 : x
  2. Step 2: Convert to fraction form
    83,043/121,795.50 = 121,795.50/x
  3. Step 3: Cross multiply
    83,043x = 121,795.50 × 121,795.50
  4. Step 4: Simplify right side
    83,043x = 14,834,143,820.25
  5. Step 5: Solve for x
    x = 14,834,143,820.25/83,043
  6. Step 6: Final answer
    x = 178,632.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.