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Finding the Third Proportional to 129,325.50 and 189,064.13

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Solution

The third proportional to 129,325.50 and 189,064.13 is: 276,397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,325.50 : 189,064.13 = 189,064.13 : x
  2. Step 2: Convert to fraction form
    129,325.50/189,064.13 = 189,064.13/x
  3. Step 3: Cross multiply
    129,325.50x = 189,064.13 × 189,064.13
  4. Step 4: Simplify right side
    129,325.50x = 35,745,243,362.02
  5. Step 5: Solve for x
    x = 35,745,243,362.02/129,325.50
  6. Step 6: Final answer
    x = 276,397.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.