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Finding the Third Proportional to 149,605 and 322,987

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Solution

The third proportional to 149,605 and 322,987 is: 697,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,605 : 322,987 = 322,987 : x
  2. Step 2: Convert to fraction form
    149,605/322,987 = 322,987/x
  3. Step 3: Cross multiply
    149,605x = 322,987 × 322,987
  4. Step 4: Simplify right side
    149,605x = 104,320,602,169
  5. Step 5: Solve for x
    x = 104,320,602,169/149,605
  6. Step 6: Final answer
    x = 697,306.92

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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.