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Finding the Third Proportional to 222,770 and 487,646

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Solution

The third proportional to 222,770 and 487,646 is: 1,067,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,770 : 487,646 = 487,646 : x
  2. Step 2: Convert to fraction form
    222,770/487,646 = 487,646/x
  3. Step 3: Cross multiply
    222,770x = 487,646 × 487,646
  4. Step 4: Simplify right side
    222,770x = 237,798,621,316
  5. Step 5: Solve for x
    x = 237,798,621,316/222,770
  6. Step 6: Final answer
    x = 1,067,462.50

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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.