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Finding the Third Proportional to 207,765 and 277,290

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Solution

The third proportional to 207,765 and 277,290 is: 370,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,765 : 277,290 = 277,290 : x
  2. Step 2: Convert to fraction form
    207,765/277,290 = 277,290/x
  3. Step 3: Cross multiply
    207,765x = 277,290 × 277,290
  4. Step 4: Simplify right side
    207,765x = 76,889,744,100
  5. Step 5: Solve for x
    x = 76,889,744,100/207,765
  6. Step 6: Final answer
    x = 370,080.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.