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Finding the Third Proportional to 222,748 and 345,438

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Solution

The third proportional to 222,748 and 345,438 is: 535,705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,748 : 345,438 = 345,438 : x
  2. Step 2: Convert to fraction form
    222,748/345,438 = 345,438/x
  3. Step 3: Cross multiply
    222,748x = 345,438 × 345,438
  4. Step 4: Simplify right side
    222,748x = 119,327,411,844
  5. Step 5: Solve for x
    x = 119,327,411,844/222,748
  6. Step 6: Final answer
    x = 535,705.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.