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Finding the Third Proportional to 117,690 and 277,597

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Solution

The third proportional to 117,690 and 277,597 is: 654,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,690 : 277,597 = 277,597 : x
  2. Step 2: Convert to fraction form
    117,690/277,597 = 277,597/x
  3. Step 3: Cross multiply
    117,690x = 277,597 × 277,597
  4. Step 4: Simplify right side
    117,690x = 77,060,094,409
  5. Step 5: Solve for x
    x = 77,060,094,409/117,690
  6. Step 6: Final answer
    x = 654,771.81

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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.