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Finding the Third Proportional to 413,409 and 885,865

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Solution

The third proportional to 413,409 and 885,865 is: 1,898,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,409 : 885,865 = 885,865 : x
  2. Step 2: Convert to fraction form
    413,409/885,865 = 885,865/x
  3. Step 3: Cross multiply
    413,409x = 885,865 × 885,865
  4. Step 4: Simplify right side
    413,409x = 784,756,798,225
  5. Step 5: Solve for x
    x = 784,756,798,225/413,409
  6. Step 6: Final answer
    x = 1,898,257.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.