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Finding the Third Proportional to 277,606 and 602,780

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Solution

The third proportional to 277,606 and 602,780 is: 1,308,846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,606 : 602,780 = 602,780 : x
  2. Step 2: Convert to fraction form
    277,606/602,780 = 602,780/x
  3. Step 3: Cross multiply
    277,606x = 602,780 × 602,780
  4. Step 4: Simplify right side
    277,606x = 363,343,728,400
  5. Step 5: Solve for x
    x = 363,343,728,400/277,606
  6. Step 6: Final answer
    x = 1,308,846.81

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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.