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Finding the Third Proportional to 194,217 and 278,748

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Solution

The third proportional to 194,217 and 278,748 is: 400,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,217 : 278,748 = 278,748 : x
  2. Step 2: Convert to fraction form
    194,217/278,748 = 278,748/x
  3. Step 3: Cross multiply
    194,217x = 278,748 × 278,748
  4. Step 4: Simplify right side
    194,217x = 77,700,447,504
  5. Step 5: Solve for x
    x = 77,700,447,504/194,217
  6. Step 6: Final answer
    x = 400,070.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.