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Finding the Third Proportional to 117,630 and 277,641

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Solution

The third proportional to 117,630 and 277,641 is: 655,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,630 : 277,641 = 277,641 : x
  2. Step 2: Convert to fraction form
    117,630/277,641 = 277,641/x
  3. Step 3: Cross multiply
    117,630x = 277,641 × 277,641
  4. Step 4: Simplify right side
    117,630x = 77,084,524,881
  5. Step 5: Solve for x
    x = 77,084,524,881/117,630
  6. Step 6: Final answer
    x = 655,313.48

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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.