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Finding the Third Proportional to 117,615 and 277,603

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Solution

The third proportional to 117,615 and 277,603 is: 655,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,615 : 277,603 = 277,603 : x
  2. Step 2: Convert to fraction form
    117,615/277,603 = 277,603/x
  3. Step 3: Cross multiply
    117,615x = 277,603 × 277,603
  4. Step 4: Simplify right side
    117,615x = 77,063,425,609
  5. Step 5: Solve for x
    x = 77,063,425,609/117,615
  6. Step 6: Final answer
    x = 655,217.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.