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Finding the Third Proportional to 388,842 and 808,723

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Solution

The third proportional to 388,842 and 808,723 is: 1,682,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,842 : 808,723 = 808,723 : x
  2. Step 2: Convert to fraction form
    388,842/808,723 = 808,723/x
  3. Step 3: Cross multiply
    388,842x = 808,723 × 808,723
  4. Step 4: Simplify right side
    388,842x = 654,032,890,729
  5. Step 5: Solve for x
    x = 654,032,890,729/388,842
  6. Step 6: Final answer
    x = 1,682,001.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.