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Finding the Third Proportional to 343,530 and 732,720

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Solution

The third proportional to 343,530 and 732,720 is: 1,562,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,530 : 732,720 = 732,720 : x
  2. Step 2: Convert to fraction form
    343,530/732,720 = 732,720/x
  3. Step 3: Cross multiply
    343,530x = 732,720 × 732,720
  4. Step 4: Simplify right side
    343,530x = 536,878,598,400
  5. Step 5: Solve for x
    x = 536,878,598,400/343,530
  6. Step 6: Final answer
    x = 1,562,828.86

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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.