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Finding the Third Proportional to 293,418.50 and 618,360.50

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Solution

The third proportional to 293,418.50 and 618,360.50 is: 1,303,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,418.50 : 618,360.50 = 618,360.50 : x
  2. Step 2: Convert to fraction form
    293,418.50/618,360.50 = 618,360.50/x
  3. Step 3: Cross multiply
    293,418.50x = 618,360.50 × 618,360.50
  4. Step 4: Simplify right side
    293,418.50x = 382,369,707,960.25
  5. Step 5: Solve for x
    x = 382,369,707,960.25/293,418.50
  6. Step 6: Final answer
    x = 1,303,154.74

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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.