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Finding the Third Proportional to 70,288 and 155,336

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Solution

The third proportional to 70,288 and 155,336 is: 343,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,288 : 155,336 = 155,336 : x
  2. Step 2: Convert to fraction form
    70,288/155,336 = 155,336/x
  3. Step 3: Cross multiply
    70,288x = 155,336 × 155,336
  4. Step 4: Simplify right side
    70,288x = 24,129,272,896
  5. Step 5: Solve for x
    x = 24,129,272,896/70,288
  6. Step 6: Final answer
    x = 343,291.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.