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Finding the Third Proportional to 201,866 and 424,643

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Solution

The third proportional to 201,866 and 424,643 is: 893,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,866 : 424,643 = 424,643 : x
  2. Step 2: Convert to fraction form
    201,866/424,643 = 424,643/x
  3. Step 3: Cross multiply
    201,866x = 424,643 × 424,643
  4. Step 4: Simplify right side
    201,866x = 180,321,677,449
  5. Step 5: Solve for x
    x = 180,321,677,449/201,866
  6. Step 6: Final answer
    x = 893,274.14

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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.