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Finding the Third Proportional to 393,414.75 and 577,208.25

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Solution

The third proportional to 393,414.75 and 577,208.25 is: 846,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,414.75 : 577,208.25 = 577,208.25 : x
  2. Step 2: Convert to fraction form
    393,414.75/577,208.25 = 577,208.25/x
  3. Step 3: Cross multiply
    393,414.75x = 577,208.25 × 577,208.25
  4. Step 4: Simplify right side
    393,414.75x = 333,169,363,868.06
  5. Step 5: Solve for x
    x = 333,169,363,868.06/393,414.75
  6. Step 6: Final answer
    x = 846,865.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.