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Finding the Third Proportional to 225,184 and 485,312

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Solution

The third proportional to 225,184 and 485,312 is: 1,045,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,184 : 485,312 = 485,312 : x
  2. Step 2: Convert to fraction form
    225,184/485,312 = 485,312/x
  3. Step 3: Cross multiply
    225,184x = 485,312 × 485,312
  4. Step 4: Simplify right side
    225,184x = 235,527,737,344
  5. Step 5: Solve for x
    x = 235,527,737,344/225,184
  6. Step 6: Final answer
    x = 1,045,934.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.