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Finding the Third Proportional to 375,928 and 810,538

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Solution

The third proportional to 375,928 and 810,538 is: 1,747,600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,928 : 810,538 = 810,538 : x
  2. Step 2: Convert to fraction form
    375,928/810,538 = 810,538/x
  3. Step 3: Cross multiply
    375,928x = 810,538 × 810,538
  4. Step 4: Simplify right side
    375,928x = 656,971,849,444
  5. Step 5: Solve for x
    x = 656,971,849,444/375,928
  6. Step 6: Final answer
    x = 1,747,600.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.