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Finding the Third Proportional to 407,111 and 868,323

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Solution

The third proportional to 407,111 and 868,323 is: 1,852,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,111 : 868,323 = 868,323 : x
  2. Step 2: Convert to fraction form
    407,111/868,323 = 868,323/x
  3. Step 3: Cross multiply
    407,111x = 868,323 × 868,323
  4. Step 4: Simplify right side
    407,111x = 753,984,832,329
  5. Step 5: Solve for x
    x = 753,984,832,329/407,111
  6. Step 6: Final answer
    x = 1,852,037.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.