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Finding the Third Proportional to 120,320 and 176,376

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Solution

The third proportional to 120,320 and 176,376 is: 258,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,320 : 176,376 = 176,376 : x
  2. Step 2: Convert to fraction form
    120,320/176,376 = 176,376/x
  3. Step 3: Cross multiply
    120,320x = 176,376 × 176,376
  4. Step 4: Simplify right side
    120,320x = 31,108,493,376
  5. Step 5: Solve for x
    x = 31,108,493,376/120,320
  6. Step 6: Final answer
    x = 258,547.98

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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.