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Finding the Third Proportional to 407,842 and 885,748

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Solution

The third proportional to 407,842 and 885,748 is: 1,923,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,842 : 885,748 = 885,748 : x
  2. Step 2: Convert to fraction form
    407,842/885,748 = 885,748/x
  3. Step 3: Cross multiply
    407,842x = 885,748 × 885,748
  4. Step 4: Simplify right side
    407,842x = 784,549,519,504
  5. Step 5: Solve for x
    x = 784,549,519,504/407,842
  6. Step 6: Final answer
    x = 1,923,660.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.