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Finding the Third Proportional to 103,400.50 and 215,549

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Solution

The third proportional to 103,400.50 and 215,549 is: 449,334.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,400.50 : 215,549 = 215,549 : x
  2. Step 2: Convert to fraction form
    103,400.50/215,549 = 215,549/x
  3. Step 3: Cross multiply
    103,400.50x = 215,549 × 215,549
  4. Step 4: Simplify right side
    103,400.50x = 46,461,371,401
  5. Step 5: Solve for x
    x = 46,461,371,401/103,400.50
  6. Step 6: Final answer
    x = 449,334.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.