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Finding the Third Proportional to 311,541.19 and 680,734.13

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Solution

The third proportional to 311,541.19 and 680,734.13 is: 1,487,440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,541.19 : 680,734.13 = 680,734.13 : x
  2. Step 2: Convert to fraction form
    311,541.19/680,734.13 = 680,734.13/x
  3. Step 3: Cross multiply
    311,541.19x = 680,734.13 × 680,734.13
  4. Step 4: Simplify right side
    311,541.19x = 463,398,948,939.52
  5. Step 5: Solve for x
    x = 463,398,948,939.52/311,541.19
  6. Step 6: Final answer
    x = 1,487,440.40

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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.