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Finding the Third Proportional to 205,368 and 305,040

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Solution

The third proportional to 205,368 and 305,040 is: 453,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,368 : 305,040 = 305,040 : x
  2. Step 2: Convert to fraction form
    205,368/305,040 = 305,040/x
  3. Step 3: Cross multiply
    205,368x = 305,040 × 305,040
  4. Step 4: Simplify right side
    205,368x = 93,049,401,600
  5. Step 5: Solve for x
    x = 93,049,401,600/205,368
  6. Step 6: Final answer
    x = 453,086.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.