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Finding the Third Proportional to 340,240.50 and 715,311

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Solution

The third proportional to 340,240.50 and 715,311 is: 1,503,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,240.50 : 715,311 = 715,311 : x
  2. Step 2: Convert to fraction form
    340,240.50/715,311 = 715,311/x
  3. Step 3: Cross multiply
    340,240.50x = 715,311 × 715,311
  4. Step 4: Simplify right side
    340,240.50x = 511,669,826,721
  5. Step 5: Solve for x
    x = 511,669,826,721/340,240.50
  6. Step 6: Final answer
    x = 1,503,847.50

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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.