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Finding the Third Proportional to 381,528 and 829,395

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Solution

The third proportional to 381,528 and 829,395 is: 1,803,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,528 : 829,395 = 829,395 : x
  2. Step 2: Convert to fraction form
    381,528/829,395 = 829,395/x
  3. Step 3: Cross multiply
    381,528x = 829,395 × 829,395
  4. Step 4: Simplify right side
    381,528x = 687,896,066,025
  5. Step 5: Solve for x
    x = 687,896,066,025/381,528
  6. Step 6: Final answer
    x = 1,803,002.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.