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Finding the Third Proportional to 688,198 and 1,036,275

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Solution

The third proportional to 688,198 and 1,036,275 is: 1,560,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,198 : 1,036,275 = 1,036,275 : x
  2. Step 2: Convert to fraction form
    688,198/1,036,275 = 1,036,275/x
  3. Step 3: Cross multiply
    688,198x = 1,036,275 × 1,036,275
  4. Step 4: Simplify right side
    688,198x = 1,073,865,875,625
  5. Step 5: Solve for x
    x = 1,073,865,875,625/688,198
  6. Step 6: Final answer
    x = 1,560,402.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.