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Finding the Third Proportional to 413,226 and 905,670

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Solution

The third proportional to 413,226 and 905,670 is: 1,984,962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,226 : 905,670 = 905,670 : x
  2. Step 2: Convert to fraction form
    413,226/905,670 = 905,670/x
  3. Step 3: Cross multiply
    413,226x = 905,670 × 905,670
  4. Step 4: Simplify right side
    413,226x = 820,238,148,900
  5. Step 5: Solve for x
    x = 820,238,148,900/413,226
  6. Step 6: Final answer
    x = 1,984,962.58

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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.