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Finding the Third Proportional to 201,680 and 424,000

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Solution

The third proportional to 201,680 and 424,000 is: 891,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,680 : 424,000 = 424,000 : x
  2. Step 2: Convert to fraction form
    201,680/424,000 = 424,000/x
  3. Step 3: Cross multiply
    201,680x = 424,000 × 424,000
  4. Step 4: Simplify right side
    201,680x = 179,776,000,000
  5. Step 5: Solve for x
    x = 179,776,000,000/201,680
  6. Step 6: Final answer
    x = 891,392.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.