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Finding the Third Proportional to 120,072 and 277,986

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Solution

The third proportional to 120,072 and 277,986 is: 643,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,072 : 277,986 = 277,986 : x
  2. Step 2: Convert to fraction form
    120,072/277,986 = 277,986/x
  3. Step 3: Cross multiply
    120,072x = 277,986 × 277,986
  4. Step 4: Simplify right side
    120,072x = 77,276,216,196
  5. Step 5: Solve for x
    x = 77,276,216,196/120,072
  6. Step 6: Final answer
    x = 643,582.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.