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Finding the Third Proportional to 136,516.50 and 213,688.13

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Solution

The third proportional to 136,516.50 and 213,688.13 is: 334,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,516.50 : 213,688.13 = 213,688.13 : x
  2. Step 2: Convert to fraction form
    136,516.50/213,688.13 = 213,688.13/x
  3. Step 3: Cross multiply
    136,516.50x = 213,688.13 × 213,688.13
  4. Step 4: Simplify right side
    136,516.50x = 45,662,614,766.02
  5. Step 5: Solve for x
    x = 45,662,614,766.02/136,516.50
  6. Step 6: Final answer
    x = 334,484.22

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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.