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Finding the Third Proportional to 69,320 and 151,312

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Solution

The third proportional to 69,320 and 151,312 is: 330,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,320 : 151,312 = 151,312 : x
  2. Step 2: Convert to fraction form
    69,320/151,312 = 151,312/x
  3. Step 3: Cross multiply
    69,320x = 151,312 × 151,312
  4. Step 4: Simplify right side
    69,320x = 22,895,321,344
  5. Step 5: Solve for x
    x = 22,895,321,344/69,320
  6. Step 6: Final answer
    x = 330,284.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.