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Finding the Third Proportional to 277,776.75 and 393,310

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Solution

The third proportional to 277,776.75 and 393,310 is: 556,895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,776.75 : 393,310 = 393,310 : x
  2. Step 2: Convert to fraction form
    277,776.75/393,310 = 393,310/x
  3. Step 3: Cross multiply
    277,776.75x = 393,310 × 393,310
  4. Step 4: Simplify right side
    277,776.75x = 154,692,756,100
  5. Step 5: Solve for x
    x = 154,692,756,100/277,776.75
  6. Step 6: Final answer
    x = 556,895.98

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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.