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Finding the Third Proportional to 83,820 and 183,639

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Solution

The third proportional to 83,820 and 183,639 is: 402,329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,820 : 183,639 = 183,639 : x
  2. Step 2: Convert to fraction form
    83,820/183,639 = 183,639/x
  3. Step 3: Cross multiply
    83,820x = 183,639 × 183,639
  4. Step 4: Simplify right side
    83,820x = 33,723,282,321
  5. Step 5: Solve for x
    x = 33,723,282,321/83,820
  6. Step 6: Final answer
    x = 402,329.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.