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Finding the Third Proportional to 277,778 and 393,312

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Solution

The third proportional to 277,778 and 393,312 is: 556,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,778 : 393,312 = 393,312 : x
  2. Step 2: Convert to fraction form
    277,778/393,312 = 393,312/x
  3. Step 3: Cross multiply
    277,778x = 393,312 × 393,312
  4. Step 4: Simplify right side
    277,778x = 154,694,329,344
  5. Step 5: Solve for x
    x = 154,694,329,344/277,778
  6. Step 6: Final answer
    x = 556,899.14

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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.