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Finding the Third Proportional to 400,069.13 and 872,035.88

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Solution

The third proportional to 400,069.13 and 872,035.88 is: 1,900,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,069.13 : 872,035.88 = 872,035.88 : x
  2. Step 2: Convert to fraction form
    400,069.13/872,035.88 = 872,035.88/x
  3. Step 3: Cross multiply
    400,069.13x = 872,035.88 × 872,035.88
  4. Step 4: Simplify right side
    400,069.13x = 760,446,567,287.02
  5. Step 5: Solve for x
    x = 760,446,567,287.02/400,069.13
  6. Step 6: Final answer
    x = 1,900,787.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.