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Finding the Third Proportional to 386,742 and 856,428

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Solution

The third proportional to 386,742 and 856,428 is: 1,896,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,742 : 856,428 = 856,428 : x
  2. Step 2: Convert to fraction form
    386,742/856,428 = 856,428/x
  3. Step 3: Cross multiply
    386,742x = 856,428 × 856,428
  4. Step 4: Simplify right side
    386,742x = 733,468,919,184
  5. Step 5: Solve for x
    x = 733,468,919,184/386,742
  6. Step 6: Final answer
    x = 1,896,532.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.