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Finding the Third Proportional to 149,865 and 320,988

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Solution

The third proportional to 149,865 and 320,988 is: 687,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,865 : 320,988 = 320,988 : x
  2. Step 2: Convert to fraction form
    149,865/320,988 = 320,988/x
  3. Step 3: Cross multiply
    149,865x = 320,988 × 320,988
  4. Step 4: Simplify right side
    149,865x = 103,033,296,144
  5. Step 5: Solve for x
    x = 103,033,296,144/149,865
  6. Step 6: Final answer
    x = 687,507.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.