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Finding the Third Proportional to 206,647.50 and 311,490

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Solution

The third proportional to 206,647.50 and 311,490 is: 469,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,647.50 : 311,490 = 311,490 : x
  2. Step 2: Convert to fraction form
    206,647.50/311,490 = 311,490/x
  3. Step 3: Cross multiply
    206,647.50x = 311,490 × 311,490
  4. Step 4: Simplify right side
    206,647.50x = 97,026,020,100
  5. Step 5: Solve for x
    x = 97,026,020,100/206,647.50
  6. Step 6: Final answer
    x = 469,524.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.