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Finding the Third Proportional to 145,997 and 161,357

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Solution

The third proportional to 145,997 and 161,357 is: 178,332.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,997 : 161,357 = 161,357 : x
  2. Step 2: Convert to fraction form
    145,997/161,357 = 161,357/x
  3. Step 3: Cross multiply
    145,997x = 161,357 × 161,357
  4. Step 4: Simplify right side
    145,997x = 26,036,081,449
  5. Step 5: Solve for x
    x = 26,036,081,449/145,997
  6. Step 6: Final answer
    x = 178,332.99

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.