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Finding the Third Proportional to 207,997.50 and 308,938.50

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Solution

The third proportional to 207,997.50 and 308,938.50 is: 458,866.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,997.50 : 308,938.50 = 308,938.50 : x
  2. Step 2: Convert to fraction form
    207,997.50/308,938.50 = 308,938.50/x
  3. Step 3: Cross multiply
    207,997.50x = 308,938.50 × 308,938.50
  4. Step 4: Simplify right side
    207,997.50x = 95,442,996,782.25
  5. Step 5: Solve for x
    x = 95,442,996,782.25/207,997.50
  6. Step 6: Final answer
    x = 458,866.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.