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Finding the Third Proportional to 71,808 and 153,392

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Solution

The third proportional to 71,808 and 153,392 is: 327,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,808 : 153,392 = 153,392 : x
  2. Step 2: Convert to fraction form
    71,808/153,392 = 153,392/x
  3. Step 3: Cross multiply
    71,808x = 153,392 × 153,392
  4. Step 4: Simplify right side
    71,808x = 23,529,105,664
  5. Step 5: Solve for x
    x = 23,529,105,664/71,808
  6. Step 6: Final answer
    x = 327,666.91

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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.