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Finding the Third Proportional to 411,602 and 901,909

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Solution

The third proportional to 411,602 and 901,909 is: 1,976,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,602 : 901,909 = 901,909 : x
  2. Step 2: Convert to fraction form
    411,602/901,909 = 901,909/x
  3. Step 3: Cross multiply
    411,602x = 901,909 × 901,909
  4. Step 4: Simplify right side
    411,602x = 813,439,844,281
  5. Step 5: Solve for x
    x = 813,439,844,281/411,602
  6. Step 6: Final answer
    x = 1,976,277.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.