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Finding the Third Proportional to 83,033 and 128,232.50

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Solution

The third proportional to 83,033 and 128,232.50 is: 198,036.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,033 : 128,232.50 = 128,232.50 : x
  2. Step 2: Convert to fraction form
    83,033/128,232.50 = 128,232.50/x
  3. Step 3: Cross multiply
    83,033x = 128,232.50 × 128,232.50
  4. Step 4: Simplify right side
    83,033x = 16,443,574,056.25
  5. Step 5: Solve for x
    x = 16,443,574,056.25/83,033
  6. Step 6: Final answer
    x = 198,036.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.