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Finding the Third Proportional to 293,415.75 and 618,374.25

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Solution

The third proportional to 293,415.75 and 618,374.25 is: 1,303,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,415.75 : 618,374.25 = 618,374.25 : x
  2. Step 2: Convert to fraction form
    293,415.75/618,374.25 = 618,374.25/x
  3. Step 3: Cross multiply
    293,415.75x = 618,374.25 × 618,374.25
  4. Step 4: Simplify right side
    293,415.75x = 382,386,713,063.06
  5. Step 5: Solve for x
    x = 382,386,713,063.06/293,415.75
  6. Step 6: Final answer
    x = 1,303,224.91

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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.