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Finding the Third Proportional to 354,984 and 536,172

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Solution

The third proportional to 354,984 and 536,172 is: 809,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,984 : 536,172 = 536,172 : x
  2. Step 2: Convert to fraction form
    354,984/536,172 = 536,172/x
  3. Step 3: Cross multiply
    354,984x = 536,172 × 536,172
  4. Step 4: Simplify right side
    354,984x = 287,480,413,584
  5. Step 5: Solve for x
    x = 287,480,413,584/354,984
  6. Step 6: Final answer
    x = 809,840.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.