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Finding the Third Proportional to 132,296.63 and 199,675.13

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Solution

The third proportional to 132,296.63 and 199,675.13 is: 301,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,296.63 : 199,675.13 = 199,675.13 : x
  2. Step 2: Convert to fraction form
    132,296.63/199,675.13 = 199,675.13/x
  3. Step 3: Cross multiply
    132,296.63x = 199,675.13 × 199,675.13
  4. Step 4: Simplify right side
    132,296.63x = 39,870,155,543.77
  5. Step 5: Solve for x
    x = 39,870,155,543.77/132,296.63
  6. Step 6: Final answer
    x = 301,369.41

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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.