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Finding the Third Proportional to 222,480 and 452,688

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Solution

The third proportional to 222,480 and 452,688 is: 921,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,480 : 452,688 = 452,688 : x
  2. Step 2: Convert to fraction form
    222,480/452,688 = 452,688/x
  3. Step 3: Cross multiply
    222,480x = 452,688 × 452,688
  4. Step 4: Simplify right side
    222,480x = 204,926,425,344
  5. Step 5: Solve for x
    x = 204,926,425,344/222,480
  6. Step 6: Final answer
    x = 921,100.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.