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Finding the Third Proportional to 201,870 and 424,656

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Solution

The third proportional to 201,870 and 424,656 is: 893,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,870 : 424,656 = 424,656 : x
  2. Step 2: Convert to fraction form
    201,870/424,656 = 424,656/x
  3. Step 3: Cross multiply
    201,870x = 424,656 × 424,656
  4. Step 4: Simplify right side
    201,870x = 180,332,718,336
  5. Step 5: Solve for x
    x = 180,332,718,336/201,870
  6. Step 6: Final answer
    x = 893,311.13

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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.