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Finding the Third Proportional to 71,878 and 153,612

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Solution

The third proportional to 71,878 and 153,612 is: 328,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,878 : 153,612 = 153,612 : x
  2. Step 2: Convert to fraction form
    71,878/153,612 = 153,612/x
  3. Step 3: Cross multiply
    71,878x = 153,612 × 153,612
  4. Step 4: Simplify right side
    71,878x = 23,596,646,544
  5. Step 5: Solve for x
    x = 23,596,646,544/71,878
  6. Step 6: Final answer
    x = 328,287.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.