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Finding the Third Proportional to 71,807 and 153,388

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Solution

The third proportional to 71,807 and 153,388 is: 327,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,807 : 153,388 = 153,388 : x
  2. Step 2: Convert to fraction form
    71,807/153,388 = 153,388/x
  3. Step 3: Cross multiply
    71,807x = 153,388 × 153,388
  4. Step 4: Simplify right side
    71,807x = 23,527,878,544
  5. Step 5: Solve for x
    x = 23,527,878,544/71,807
  6. Step 6: Final answer
    x = 327,654.39

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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.