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Finding the Third Proportional to 340,263 and 715,353

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Solution

The third proportional to 340,263 and 715,353 is: 1,503,924.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,263 : 715,353 = 715,353 : x
  2. Step 2: Convert to fraction form
    340,263/715,353 = 715,353/x
  3. Step 3: Cross multiply
    340,263x = 715,353 × 715,353
  4. Step 4: Simplify right side
    340,263x = 511,729,914,609
  5. Step 5: Solve for x
    x = 511,729,914,609/340,263
  6. Step 6: Final answer
    x = 1,503,924.65

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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.