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Finding the Third Proportional to 278,067 and 607,102

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Solution

The third proportional to 278,067 and 607,102 is: 1,325,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,067 : 607,102 = 607,102 : x
  2. Step 2: Convert to fraction form
    278,067/607,102 = 607,102/x
  3. Step 3: Cross multiply
    278,067x = 607,102 × 607,102
  4. Step 4: Simplify right side
    278,067x = 368,572,838,404
  5. Step 5: Solve for x
    x = 368,572,838,404/278,067
  6. Step 6: Final answer
    x = 1,325,482.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.