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Finding the Third Proportional to 69,875 and 151,564

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Solution

The third proportional to 69,875 and 151,564 is: 328,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,875 : 151,564 = 151,564 : x
  2. Step 2: Convert to fraction form
    69,875/151,564 = 151,564/x
  3. Step 3: Cross multiply
    69,875x = 151,564 × 151,564
  4. Step 4: Simplify right side
    69,875x = 22,971,646,096
  5. Step 5: Solve for x
    x = 22,971,646,096/69,875
  6. Step 6: Final answer
    x = 328,753.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.