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Finding the Third Proportional to 289,785.75 and 622,420.13

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Solution

The third proportional to 289,785.75 and 622,420.13 is: 1,336,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,785.75 : 622,420.13 = 622,420.13 : x
  2. Step 2: Convert to fraction form
    289,785.75/622,420.13 = 622,420.13/x
  3. Step 3: Cross multiply
    289,785.75x = 622,420.13 × 622,420.13
  4. Step 4: Simplify right side
    289,785.75x = 387,406,812,005.02
  5. Step 5: Solve for x
    x = 387,406,812,005.02/289,785.75
  6. Step 6: Final answer
    x = 1,336,873.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.