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Finding the Third Proportional to 136,517.63 and 213,688.69

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Solution

The third proportional to 136,517.63 and 213,688.69 is: 334,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,517.63 : 213,688.69 = 213,688.69 : x
  2. Step 2: Convert to fraction form
    136,517.63/213,688.69 = 213,688.69/x
  3. Step 3: Cross multiply
    136,517.63x = 213,688.69 × 213,688.69
  4. Step 4: Simplify right side
    136,517.63x = 45,662,855,165.47
  5. Step 5: Solve for x
    x = 45,662,855,165.47/136,517.63
  6. Step 6: Final answer
    x = 334,483.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.