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Finding the Third Proportional to 310,718.50 and 680,721

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Solution

The third proportional to 310,718.50 and 680,721 is: 1,491,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,718.50 : 680,721 = 680,721 : x
  2. Step 2: Convert to fraction form
    310,718.50/680,721 = 680,721/x
  3. Step 3: Cross multiply
    310,718.50x = 680,721 × 680,721
  4. Step 4: Simplify right side
    310,718.50x = 463,381,079,841
  5. Step 5: Solve for x
    x = 463,381,079,841/310,718.50
  6. Step 6: Final answer
    x = 1,491,321.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.