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Finding the Third Proportional to 145,984 and 222,918

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Solution

The third proportional to 145,984 and 222,918 is: 340,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,984 : 222,918 = 222,918 : x
  2. Step 2: Convert to fraction form
    145,984/222,918 = 222,918/x
  3. Step 3: Cross multiply
    145,984x = 222,918 × 222,918
  4. Step 4: Simplify right side
    145,984x = 49,692,434,724
  5. Step 5: Solve for x
    x = 49,692,434,724/145,984
  6. Step 6: Final answer
    x = 340,396.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.