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Finding the Third Proportional to 299,308.50 and 392,350.50

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Solution

The third proportional to 299,308.50 and 392,350.50 is: 514,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,308.50 : 392,350.50 = 392,350.50 : x
  2. Step 2: Convert to fraction form
    299,308.50/392,350.50 = 392,350.50/x
  3. Step 3: Cross multiply
    299,308.50x = 392,350.50 × 392,350.50
  4. Step 4: Simplify right side
    299,308.50x = 153,938,914,850.25
  5. Step 5: Solve for x
    x = 153,938,914,850.25/299,308.50
  6. Step 6: Final answer
    x = 514,315.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.