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Finding the Third Proportional to 221,548 and 480,488

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Solution

The third proportional to 221,548 and 480,488 is: 1,042,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,548 : 480,488 = 480,488 : x
  2. Step 2: Convert to fraction form
    221,548/480,488 = 480,488/x
  3. Step 3: Cross multiply
    221,548x = 480,488 × 480,488
  4. Step 4: Simplify right side
    221,548x = 230,868,718,144
  5. Step 5: Solve for x
    x = 230,868,718,144/221,548
  6. Step 6: Final answer
    x = 1,042,070.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.