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Finding the Third Proportional to 220,428 and 480,222

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Solution

The third proportional to 220,428 and 480,222 is: 1,046,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,428 : 480,222 = 480,222 : x
  2. Step 2: Convert to fraction form
    220,428/480,222 = 480,222/x
  3. Step 3: Cross multiply
    220,428x = 480,222 × 480,222
  4. Step 4: Simplify right side
    220,428x = 230,613,169,284
  5. Step 5: Solve for x
    x = 230,613,169,284/220,428
  6. Step 6: Final answer
    x = 1,046,206.33

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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.