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Finding the Third Proportional to 510,599.50 and 715,512.50

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Solution

The third proportional to 510,599.50 and 715,512.50 is: 1,002,660.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,599.50 : 715,512.50 = 715,512.50 : x
  2. Step 2: Convert to fraction form
    510,599.50/715,512.50 = 715,512.50/x
  3. Step 3: Cross multiply
    510,599.50x = 715,512.50 × 715,512.50
  4. Step 4: Simplify right side
    510,599.50x = 511,958,137,656.25
  5. Step 5: Solve for x
    x = 511,958,137,656.25/510,599.50
  6. Step 6: Final answer
    x = 1,002,660.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.