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Finding the Third Proportional to 71,390 and 148,396

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Solution

The third proportional to 71,390 and 148,396 is: 308,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,390 : 148,396 = 148,396 : x
  2. Step 2: Convert to fraction form
    71,390/148,396 = 148,396/x
  3. Step 3: Cross multiply
    71,390x = 148,396 × 148,396
  4. Step 4: Simplify right side
    71,390x = 22,021,372,816
  5. Step 5: Solve for x
    x = 22,021,372,816/71,390
  6. Step 6: Final answer
    x = 308,465.79

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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.