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Finding the Third Proportional to 235,972 and 509,480

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Solution

The third proportional to 235,972 and 509,480 is: 1,100,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,972 : 509,480 = 509,480 : x
  2. Step 2: Convert to fraction form
    235,972/509,480 = 509,480/x
  3. Step 3: Cross multiply
    235,972x = 509,480 × 509,480
  4. Step 4: Simplify right side
    235,972x = 259,569,870,400
  5. Step 5: Solve for x
    x = 259,569,870,400/235,972
  6. Step 6: Final answer
    x = 1,100,002.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.