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Finding the Third Proportional to 195,240 and 420,492

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Solution

The third proportional to 195,240 and 420,492 is: 905,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,240 : 420,492 = 420,492 : x
  2. Step 2: Convert to fraction form
    195,240/420,492 = 420,492/x
  3. Step 3: Cross multiply
    195,240x = 420,492 × 420,492
  4. Step 4: Simplify right side
    195,240x = 176,813,522,064
  5. Step 5: Solve for x
    x = 176,813,522,064/195,240
  6. Step 6: Final answer
    x = 905,621.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.