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Finding the Third Proportional to 278,736 and 602,178

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Solution

The third proportional to 278,736 and 602,178 is: 1,300,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,736 : 602,178 = 602,178 : x
  2. Step 2: Convert to fraction form
    278,736/602,178 = 602,178/x
  3. Step 3: Cross multiply
    278,736x = 602,178 × 602,178
  4. Step 4: Simplify right side
    278,736x = 362,618,343,684
  5. Step 5: Solve for x
    x = 362,618,343,684/278,736
  6. Step 6: Final answer
    x = 1,300,938.32

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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.