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Finding the Third Proportional to 212,192 and 278,888

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Solution

The third proportional to 212,192 and 278,888 is: 366,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,192 : 278,888 = 278,888 : x
  2. Step 2: Convert to fraction form
    212,192/278,888 = 278,888/x
  3. Step 3: Cross multiply
    212,192x = 278,888 × 278,888
  4. Step 4: Simplify right side
    212,192x = 77,778,516,544
  5. Step 5: Solve for x
    x = 77,778,516,544/212,192
  6. Step 6: Final answer
    x = 366,547.83

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.