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Finding the Third Proportional to 278,877 and 604,122

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Solution

The third proportional to 278,877 and 604,122 is: 1,308,689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,877 : 604,122 = 604,122 : x
  2. Step 2: Convert to fraction form
    278,877/604,122 = 604,122/x
  3. Step 3: Cross multiply
    278,877x = 604,122 × 604,122
  4. Step 4: Simplify right side
    278,877x = 364,963,390,884
  5. Step 5: Solve for x
    x = 364,963,390,884/278,877
  6. Step 6: Final answer
    x = 1,308,689.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.