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Finding the Third Proportional to 31,547 and 68,997

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Solution

The third proportional to 31,547 and 68,997 is: 150,904.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,547 : 68,997 = 68,997 : x
  2. Step 2: Convert to fraction form
    31,547/68,997 = 68,997/x
  3. Step 3: Cross multiply
    31,547x = 68,997 × 68,997
  4. Step 4: Simplify right side
    31,547x = 4,760,586,009
  5. Step 5: Solve for x
    x = 4,760,586,009/31,547
  6. Step 6: Final answer
    x = 150,904.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.