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Finding the Third Proportional to 147,778 and 223,219

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Solution

The third proportional to 147,778 and 223,219 is: 337,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,778 : 223,219 = 223,219 : x
  2. Step 2: Convert to fraction form
    147,778/223,219 = 223,219/x
  3. Step 3: Cross multiply
    147,778x = 223,219 × 223,219
  4. Step 4: Simplify right side
    147,778x = 49,826,721,961
  5. Step 5: Solve for x
    x = 49,826,721,961/147,778
  6. Step 6: Final answer
    x = 337,172.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.