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Finding the Third Proportional to 201,859 and 424,630

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Solution

The third proportional to 201,859 and 424,630 is: 893,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,859 : 424,630 = 424,630 : x
  2. Step 2: Convert to fraction form
    201,859/424,630 = 424,630/x
  3. Step 3: Cross multiply
    201,859x = 424,630 × 424,630
  4. Step 4: Simplify right side
    201,859x = 180,310,636,900
  5. Step 5: Solve for x
    x = 180,310,636,900/201,859
  6. Step 6: Final answer
    x = 893,250.42

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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.