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Finding the Third Proportional to 92,241.50 and 139,209

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Solution

The third proportional to 92,241.50 and 139,209 is: 210,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,241.50 : 139,209 = 139,209 : x
  2. Step 2: Convert to fraction form
    92,241.50/139,209 = 139,209/x
  3. Step 3: Cross multiply
    92,241.50x = 139,209 × 139,209
  4. Step 4: Simplify right side
    92,241.50x = 19,379,145,681
  5. Step 5: Solve for x
    x = 19,379,145,681/92,241.50
  6. Step 6: Final answer
    x = 210,091.40

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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.