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Finding the Third Proportional to 222,101 and 487,411

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Solution

The third proportional to 222,101 and 487,411 is: 1,069,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,101 : 487,411 = 487,411 : x
  2. Step 2: Convert to fraction form
    222,101/487,411 = 487,411/x
  3. Step 3: Cross multiply
    222,101x = 487,411 × 487,411
  4. Step 4: Simplify right side
    222,101x = 237,569,482,921
  5. Step 5: Solve for x
    x = 237,569,482,921/222,101
  6. Step 6: Final answer
    x = 1,069,646.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.