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Finding the Third Proportional to 201,807 and 424,521

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Solution

The third proportional to 201,807 and 424,521 is: 893,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,807 : 424,521 = 424,521 : x
  2. Step 2: Convert to fraction form
    201,807/424,521 = 424,521/x
  3. Step 3: Cross multiply
    201,807x = 424,521 × 424,521
  4. Step 4: Simplify right side
    201,807x = 180,218,079,441
  5. Step 5: Solve for x
    x = 180,218,079,441/201,807
  6. Step 6: Final answer
    x = 893,021.94

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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.