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Finding the Third Proportional to 323,689.50 and 702,418.50

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Solution

The third proportional to 323,689.50 and 702,418.50 is: 1,524,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,689.50 : 702,418.50 = 702,418.50 : x
  2. Step 2: Convert to fraction form
    323,689.50/702,418.50 = 702,418.50/x
  3. Step 3: Cross multiply
    323,689.50x = 702,418.50 × 702,418.50
  4. Step 4: Simplify right side
    323,689.50x = 493,391,749,142.25
  5. Step 5: Solve for x
    x = 493,391,749,142.25/323,689.50
  6. Step 6: Final answer
    x = 1,524,274.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.