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Finding the Third Proportional to 201,855 and 424,621.50

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Solution

The third proportional to 201,855 and 424,621.50 is: 893,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,855 : 424,621.50 = 424,621.50 : x
  2. Step 2: Convert to fraction form
    201,855/424,621.50 = 424,621.50/x
  3. Step 3: Cross multiply
    201,855x = 424,621.50 × 424,621.50
  4. Step 4: Simplify right side
    201,855x = 180,303,418,262.25
  5. Step 5: Solve for x
    x = 180,303,418,262.25/201,855
  6. Step 6: Final answer
    x = 893,232.36

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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.