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Finding the Third Proportional to 407,144.25 and 881,306.25

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Solution

The third proportional to 407,144.25 and 881,306.25 is: 1,907,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,144.25 : 881,306.25 = 881,306.25 : x
  2. Step 2: Convert to fraction form
    407,144.25/881,306.25 = 881,306.25/x
  3. Step 3: Cross multiply
    407,144.25x = 881,306.25 × 881,306.25
  4. Step 4: Simplify right side
    407,144.25x = 776,700,706,289.06
  5. Step 5: Solve for x
    x = 776,700,706,289.06/407,144.25
  6. Step 6: Final answer
    x = 1,907,679.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.