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Finding the Third Proportional to 278,672 and 607,072

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Solution

The third proportional to 278,672 and 607,072 is: 1,322,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,672 : 607,072 = 607,072 : x
  2. Step 2: Convert to fraction form
    278,672/607,072 = 607,072/x
  3. Step 3: Cross multiply
    278,672x = 607,072 × 607,072
  4. Step 4: Simplify right side
    278,672x = 368,536,413,184
  5. Step 5: Solve for x
    x = 368,536,413,184/278,672
  6. Step 6: Final answer
    x = 1,322,473.78

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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.