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Finding the Third Proportional to 666,287 and 1,465,405

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Solution

The third proportional to 666,287 and 1,465,405 is: 3,222,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,287 : 1,465,405 = 1,465,405 : x
  2. Step 2: Convert to fraction form
    666,287/1,465,405 = 1,465,405/x
  3. Step 3: Cross multiply
    666,287x = 1,465,405 × 1,465,405
  4. Step 4: Simplify right side
    666,287x = 2,147,411,814,025
  5. Step 5: Solve for x
    x = 2,147,411,814,025/666,287
  6. Step 6: Final answer
    x = 3,222,953.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.