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Finding the Third Proportional to 412,981 and 872,617

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Solution

The third proportional to 412,981 and 872,617 is: 1,843,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,981 : 872,617 = 872,617 : x
  2. Step 2: Convert to fraction form
    412,981/872,617 = 872,617/x
  3. Step 3: Cross multiply
    412,981x = 872,617 × 872,617
  4. Step 4: Simplify right side
    412,981x = 761,460,428,689
  5. Step 5: Solve for x
    x = 761,460,428,689/412,981
  6. Step 6: Final answer
    x = 1,843,814.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.