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Finding the Third Proportional to 278,728 and 602,176

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Solution

The third proportional to 278,728 and 602,176 is: 1,300,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,728 : 602,176 = 602,176 : x
  2. Step 2: Convert to fraction form
    278,728/602,176 = 602,176/x
  3. Step 3: Cross multiply
    278,728x = 602,176 × 602,176
  4. Step 4: Simplify right side
    278,728x = 362,615,934,976
  5. Step 5: Solve for x
    x = 362,615,934,976/278,728
  6. Step 6: Final answer
    x = 1,300,967.02

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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.