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Finding the Third Proportional to 201,280 and 437,488

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Solution

The third proportional to 201,280 and 437,488 is: 950,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,280 : 437,488 = 437,488 : x
  2. Step 2: Convert to fraction form
    201,280/437,488 = 437,488/x
  3. Step 3: Cross multiply
    201,280x = 437,488 × 437,488
  4. Step 4: Simplify right side
    201,280x = 191,395,750,144
  5. Step 5: Solve for x
    x = 191,395,750,144/201,280
  6. Step 6: Final answer
    x = 950,893.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.