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Finding the Third Proportional to 92,119.50 and 130,369.50

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Solution

The third proportional to 92,119.50 and 130,369.50 is: 184,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,119.50 : 130,369.50 = 130,369.50 : x
  2. Step 2: Convert to fraction form
    92,119.50/130,369.50 = 130,369.50/x
  3. Step 3: Cross multiply
    92,119.50x = 130,369.50 × 130,369.50
  4. Step 4: Simplify right side
    92,119.50x = 16,996,206,530.25
  5. Step 5: Solve for x
    x = 16,996,206,530.25/92,119.50
  6. Step 6: Final answer
    x = 184,501.72

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.