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Finding the Third Proportional to 278,721 and 602,154

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Solution

The third proportional to 278,721 and 602,154 is: 1,300,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,721 : 602,154 = 602,154 : x
  2. Step 2: Convert to fraction form
    278,721/602,154 = 602,154/x
  3. Step 3: Cross multiply
    278,721x = 602,154 × 602,154
  4. Step 4: Simplify right side
    278,721x = 362,589,439,716
  5. Step 5: Solve for x
    x = 362,589,439,716/278,721
  6. Step 6: Final answer
    x = 1,300,904.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.