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Finding the Third Proportional to 222,044 and 481,528

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Solution

The third proportional to 222,044 and 481,528 is: 1,044,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,044 : 481,528 = 481,528 : x
  2. Step 2: Convert to fraction form
    222,044/481,528 = 481,528/x
  3. Step 3: Cross multiply
    222,044x = 481,528 × 481,528
  4. Step 4: Simplify right side
    222,044x = 231,869,214,784
  5. Step 5: Solve for x
    x = 231,869,214,784/222,044
  6. Step 6: Final answer
    x = 1,044,248.95

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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.