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Finding the Third Proportional to 385,089.19 and 821,719.69

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Solution

The third proportional to 385,089.19 and 821,719.69 is: 1,753,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,089.19 : 821,719.69 = 821,719.69 : x
  2. Step 2: Convert to fraction form
    385,089.19/821,719.69 = 821,719.69/x
  3. Step 3: Cross multiply
    385,089.19x = 821,719.69 × 821,719.69
  4. Step 4: Simplify right side
    385,089.19x = 675,223,244,825.10
  5. Step 5: Solve for x
    x = 675,223,244,825.10/385,089.19
  6. Step 6: Final answer
    x = 1,753,420.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.