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Finding the Third Proportional to 340,515 and 732,990

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Solution

The third proportional to 340,515 and 732,990 is: 1,577,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,515 : 732,990 = 732,990 : x
  2. Step 2: Convert to fraction form
    340,515/732,990 = 732,990/x
  3. Step 3: Cross multiply
    340,515x = 732,990 × 732,990
  4. Step 4: Simplify right side
    340,515x = 537,274,340,100
  5. Step 5: Solve for x
    x = 537,274,340,100/340,515
  6. Step 6: Final answer
    x = 1,577,828.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.