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Finding the Third Proportional to 220,918 and 345,592

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Solution

The third proportional to 220,918 and 345,592 is: 540,625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,918 : 345,592 = 345,592 : x
  2. Step 2: Convert to fraction form
    220,918/345,592 = 345,592/x
  3. Step 3: Cross multiply
    220,918x = 345,592 × 345,592
  4. Step 4: Simplify right side
    220,918x = 119,433,830,464
  5. Step 5: Solve for x
    x = 119,433,830,464/220,918
  6. Step 6: Final answer
    x = 540,625.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.