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Finding the Third Proportional to 278,108.88 and 417,903.75

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Solution

The third proportional to 278,108.88 and 417,903.75 is: 627,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,108.88 : 417,903.75 = 417,903.75 : x
  2. Step 2: Convert to fraction form
    278,108.88/417,903.75 = 417,903.75/x
  3. Step 3: Cross multiply
    278,108.88x = 417,903.75 × 417,903.75
  4. Step 4: Simplify right side
    278,108.88x = 174,643,544,264.06
  5. Step 5: Solve for x
    x = 174,643,544,264.06/278,108.88
  6. Step 6: Final answer
    x = 627,968.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.