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Finding the Third Proportional to 405,220 and 865,124

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Solution

The third proportional to 405,220 and 865,124 is: 1,846,995.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,220 : 865,124 = 865,124 : x
  2. Step 2: Convert to fraction form
    405,220/865,124 = 865,124/x
  3. Step 3: Cross multiply
    405,220x = 865,124 × 865,124
  4. Step 4: Simplify right side
    405,220x = 748,439,535,376
  5. Step 5: Solve for x
    x = 748,439,535,376/405,220
  6. Step 6: Final answer
    x = 1,846,995.55

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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.