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Finding the Third Proportional to 149,909 and 319,237.50

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Solution

The third proportional to 149,909 and 319,237.50 is: 679,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,909 : 319,237.50 = 319,237.50 : x
  2. Step 2: Convert to fraction form
    149,909/319,237.50 = 319,237.50/x
  3. Step 3: Cross multiply
    149,909x = 319,237.50 × 319,237.50
  4. Step 4: Simplify right side
    149,909x = 101,912,581,406.25
  5. Step 5: Solve for x
    x = 101,912,581,406.25/149,909
  6. Step 6: Final answer
    x = 679,829.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.