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Finding the Third Proportional to 149,938.50 and 319,294.50

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Solution

The third proportional to 149,938.50 and 319,294.50 is: 679,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,938.50 : 319,294.50 = 319,294.50 : x
  2. Step 2: Convert to fraction form
    149,938.50/319,294.50 = 319,294.50/x
  3. Step 3: Cross multiply
    149,938.50x = 319,294.50 × 319,294.50
  4. Step 4: Simplify right side
    149,938.50x = 101,948,977,730.25
  5. Step 5: Solve for x
    x = 101,948,977,730.25/149,938.50
  6. Step 6: Final answer
    x = 679,938.63

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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.