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Finding the Third Proportional to 609,348 and 1,320,391.50

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Solution

The third proportional to 609,348 and 1,320,391.50 is: 2,861,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,348 : 1,320,391.50 = 1,320,391.50 : x
  2. Step 2: Convert to fraction form
    609,348/1,320,391.50 = 1,320,391.50/x
  3. Step 3: Cross multiply
    609,348x = 1,320,391.50 × 1,320,391.50
  4. Step 4: Simplify right side
    609,348x = 1,743,433,713,272.25
  5. Step 5: Solve for x
    x = 1,743,433,713,272.25/609,348
  6. Step 6: Final answer
    x = 2,861,146.20

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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.