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Finding the Third Proportional to 92,411.50 and 201,408

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Solution

The third proportional to 92,411.50 and 201,408 is: 438,962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,411.50 : 201,408 = 201,408 : x
  2. Step 2: Convert to fraction form
    92,411.50/201,408 = 201,408/x
  3. Step 3: Cross multiply
    92,411.50x = 201,408 × 201,408
  4. Step 4: Simplify right side
    92,411.50x = 40,565,182,464
  5. Step 5: Solve for x
    x = 40,565,182,464/92,411.50
  6. Step 6: Final answer
    x = 438,962.49

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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.