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Finding the Third Proportional to 145,999 and 161,359

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Solution

The third proportional to 145,999 and 161,359 is: 178,334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,999 : 161,359 = 161,359 : x
  2. Step 2: Convert to fraction form
    145,999/161,359 = 161,359/x
  3. Step 3: Cross multiply
    145,999x = 161,359 × 161,359
  4. Step 4: Simplify right side
    145,999x = 26,036,726,881
  5. Step 5: Solve for x
    x = 26,036,726,881/145,999
  6. Step 6: Final answer
    x = 178,334.97

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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.