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Finding the Third Proportional to 277,776 and 393,309

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Solution

The third proportional to 277,776 and 393,309 is: 556,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,776 : 393,309 = 393,309 : x
  2. Step 2: Convert to fraction form
    277,776/393,309 = 393,309/x
  3. Step 3: Cross multiply
    277,776x = 393,309 × 393,309
  4. Step 4: Simplify right side
    277,776x = 154,691,969,481
  5. Step 5: Solve for x
    x = 154,691,969,481/277,776
  6. Step 6: Final answer
    x = 556,894.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.