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Finding the Third Proportional to 83,790 and 176,197.50

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Solution

The third proportional to 83,790 and 176,197.50 is: 370,516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,790 : 176,197.50 = 176,197.50 : x
  2. Step 2: Convert to fraction form
    83,790/176,197.50 = 176,197.50/x
  3. Step 3: Cross multiply
    83,790x = 176,197.50 × 176,197.50
  4. Step 4: Simplify right side
    83,790x = 31,045,559,006.25
  5. Step 5: Solve for x
    x = 31,045,559,006.25/83,790
  6. Step 6: Final answer
    x = 370,516.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.