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Finding the Third Proportional to 293,445.28 and 618,409.69

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Solution

The third proportional to 293,445.28 and 618,409.69 is: 1,303,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,445.28 : 618,409.69 = 618,409.69 : x
  2. Step 2: Convert to fraction form
    293,445.28/618,409.69 = 618,409.69/x
  3. Step 3: Cross multiply
    293,445.28x = 618,409.69 × 618,409.69
  4. Step 4: Simplify right side
    293,445.28x = 382,430,541,593.85
  5. Step 5: Solve for x
    x = 382,430,541,593.85/293,445.28
  6. Step 6: Final answer
    x = 1,303,243.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.