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Finding the Third Proportional to 80,509 and 176,953

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Solution

The third proportional to 80,509 and 176,953 is: 388,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,509 : 176,953 = 176,953 : x
  2. Step 2: Convert to fraction form
    80,509/176,953 = 176,953/x
  3. Step 3: Cross multiply
    80,509x = 176,953 × 176,953
  4. Step 4: Simplify right side
    80,509x = 31,312,364,209
  5. Step 5: Solve for x
    x = 31,312,364,209/80,509
  6. Step 6: Final answer
    x = 388,929.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.