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Finding the Third Proportional to 395,678.04 and 805,339.97

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Solution

The third proportional to 395,678.04 and 805,339.97 is: 1,639,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,678.04 : 805,339.97 = 805,339.97 : x
  2. Step 2: Convert to fraction form
    395,678.04/805,339.97 = 805,339.97/x
  3. Step 3: Cross multiply
    395,678.04x = 805,339.97 × 805,339.97
  4. Step 4: Simplify right side
    395,678.04x = 648,572,465,266.25
  5. Step 5: Solve for x
    x = 648,572,465,266.25/395,678.04
  6. Step 6: Final answer
    x = 1,639,141.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.