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Finding the Third Proportional to 70,488 and 151,979

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Solution

The third proportional to 70,488 and 151,979 is: 327,681.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,488 : 151,979 = 151,979 : x
  2. Step 2: Convert to fraction form
    70,488/151,979 = 151,979/x
  3. Step 3: Cross multiply
    70,488x = 151,979 × 151,979
  4. Step 4: Simplify right side
    70,488x = 23,097,616,441
  5. Step 5: Solve for x
    x = 23,097,616,441/70,488
  6. Step 6: Final answer
    x = 327,681.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.