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Finding the Third Proportional to 407,103 and 868,309

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Solution

The third proportional to 407,103 and 868,309 is: 1,852,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,103 : 868,309 = 868,309 : x
  2. Step 2: Convert to fraction form
    407,103/868,309 = 868,309/x
  3. Step 3: Cross multiply
    407,103x = 868,309 × 868,309
  4. Step 4: Simplify right side
    407,103x = 753,960,519,481
  5. Step 5: Solve for x
    x = 753,960,519,481/407,103
  6. Step 6: Final answer
    x = 1,852,014.16

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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.