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Finding the Third Proportional to 129,488.63 and 189,266.63

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Solution

The third proportional to 129,488.63 and 189,266.63 is: 276,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,488.63 : 189,266.63 = 189,266.63 : x
  2. Step 2: Convert to fraction form
    129,488.63/189,266.63 = 189,266.63/x
  3. Step 3: Cross multiply
    129,488.63x = 189,266.63 × 189,266.63
  4. Step 4: Simplify right side
    129,488.63x = 35,821,855,338.89
  5. Step 5: Solve for x
    x = 35,821,855,338.89/129,488.63
  6. Step 6: Final answer
    x = 276,640.94

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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.