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Finding the Third Proportional to 279,228 and 374,547

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Solution

The third proportional to 279,228 and 374,547 is: 502,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,228 : 374,547 = 374,547 : x
  2. Step 2: Convert to fraction form
    279,228/374,547 = 374,547/x
  3. Step 3: Cross multiply
    279,228x = 374,547 × 374,547
  4. Step 4: Simplify right side
    279,228x = 140,285,455,209
  5. Step 5: Solve for x
    x = 140,285,455,209/279,228
  6. Step 6: Final answer
    x = 502,404.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.