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Finding the Third Proportional to 296,914.50 and 647,418.75

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Solution

The third proportional to 296,914.50 and 647,418.75 is: 1,411,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,914.50 : 647,418.75 = 647,418.75 : x
  2. Step 2: Convert to fraction form
    296,914.50/647,418.75 = 647,418.75/x
  3. Step 3: Cross multiply
    296,914.50x = 647,418.75 × 647,418.75
  4. Step 4: Simplify right side
    296,914.50x = 419,151,037,851.56
  5. Step 5: Solve for x
    x = 419,151,037,851.56/296,914.50
  6. Step 6: Final answer
    x = 1,411,689.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.