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Finding the Third Proportional to 618,429.94 and 1,330,354.13

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Solution

The third proportional to 618,429.94 and 1,330,354.13 is: 2,861,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,429.94 : 1,330,354.13 = 1,330,354.13 : x
  2. Step 2: Convert to fraction form
    618,429.94/1,330,354.13 = 1,330,354.13/x
  3. Step 3: Cross multiply
    618,429.94x = 1,330,354.13 × 1,330,354.13
  4. Step 4: Simplify right side
    618,429.94x = 1,769,842,097,904.52
  5. Step 5: Solve for x
    x = 1,769,842,097,904.52/618,429.94
  6. Step 6: Final answer
    x = 2,861,831.21

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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.