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Finding the Third Proportional to 278,723 and 602,158

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Solution

The third proportional to 278,723 and 602,158 is: 1,300,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,723 : 602,158 = 602,158 : x
  2. Step 2: Convert to fraction form
    278,723/602,158 = 602,158/x
  3. Step 3: Cross multiply
    278,723x = 602,158 × 602,158
  4. Step 4: Simplify right side
    278,723x = 362,594,256,964
  5. Step 5: Solve for x
    x = 362,594,256,964/278,723
  6. Step 6: Final answer
    x = 1,300,912.58

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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.