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Finding the Third Proportional to 340,344 and 715,518

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Solution

The third proportional to 340,344 and 715,518 is: 1,504,260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,344 : 715,518 = 715,518 : x
  2. Step 2: Convert to fraction form
    340,344/715,518 = 715,518/x
  3. Step 3: Cross multiply
    340,344x = 715,518 × 715,518
  4. Step 4: Simplify right side
    340,344x = 511,966,008,324
  5. Step 5: Solve for x
    x = 511,966,008,324/340,344
  6. Step 6: Final answer
    x = 1,504,260.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.