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Finding the Third Proportional to 340,259 and 715,345

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Solution

The third proportional to 340,259 and 715,345 is: 1,503,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,259 : 715,345 = 715,345 : x
  2. Step 2: Convert to fraction form
    340,259/715,345 = 715,345/x
  3. Step 3: Cross multiply
    340,259x = 715,345 × 715,345
  4. Step 4: Simplify right side
    340,259x = 511,718,469,025
  5. Step 5: Solve for x
    x = 511,718,469,025/340,259
  6. Step 6: Final answer
    x = 1,503,908.70

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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.