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Finding the Third Proportional to 337,680 and 720,558

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Solution

The third proportional to 337,680 and 720,558 is: 1,537,561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,680 : 720,558 = 720,558 : x
  2. Step 2: Convert to fraction form
    337,680/720,558 = 720,558/x
  3. Step 3: Cross multiply
    337,680x = 720,558 × 720,558
  4. Step 4: Simplify right side
    337,680x = 519,203,831,364
  5. Step 5: Solve for x
    x = 519,203,831,364/337,680
  6. Step 6: Final answer
    x = 1,537,561.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.