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Finding the Third Proportional to 201,435 and 438,832.50

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Solution

The third proportional to 201,435 and 438,832.50 is: 956,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,435 : 438,832.50 = 438,832.50 : x
  2. Step 2: Convert to fraction form
    201,435/438,832.50 = 438,832.50/x
  3. Step 3: Cross multiply
    201,435x = 438,832.50 × 438,832.50
  4. Step 4: Simplify right side
    201,435x = 192,573,963,056.25
  5. Step 5: Solve for x
    x = 192,573,963,056.25/201,435
  6. Step 6: Final answer
    x = 956,010.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.