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Finding the Third Proportional to 120,196 and 278,248

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Solution

The third proportional to 120,196 and 278,248 is: 644,130.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,196 : 278,248 = 278,248 : x
  2. Step 2: Convert to fraction form
    120,196/278,248 = 278,248/x
  3. Step 3: Cross multiply
    120,196x = 278,248 × 278,248
  4. Step 4: Simplify right side
    120,196x = 77,421,949,504
  5. Step 5: Solve for x
    x = 77,421,949,504/120,196
  6. Step 6: Final answer
    x = 644,130.83

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.