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Finding the Third Proportional to 220,875 and 480,414

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Solution

The third proportional to 220,875 and 480,414 is: 1,044,924.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,875 : 480,414 = 480,414 : x
  2. Step 2: Convert to fraction form
    220,875/480,414 = 480,414/x
  3. Step 3: Cross multiply
    220,875x = 480,414 × 480,414
  4. Step 4: Simplify right side
    220,875x = 230,797,611,396
  5. Step 5: Solve for x
    x = 230,797,611,396/220,875
  6. Step 6: Final answer
    x = 1,044,924.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.