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Finding the Third Proportional to 71,378 and 148,420

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Solution

The third proportional to 71,378 and 148,420 is: 308,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,378 : 148,420 = 148,420 : x
  2. Step 2: Convert to fraction form
    71,378/148,420 = 148,420/x
  3. Step 3: Cross multiply
    71,378x = 148,420 × 148,420
  4. Step 4: Simplify right side
    71,378x = 22,028,496,400
  5. Step 5: Solve for x
    x = 22,028,496,400/71,378
  6. Step 6: Final answer
    x = 308,617.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.