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Finding the Third Proportional to 136,416.50 and 206,511.50

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Solution

The third proportional to 136,416.50 and 206,511.50 is: 312,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,416.50 : 206,511.50 = 206,511.50 : x
  2. Step 2: Convert to fraction form
    136,416.50/206,511.50 = 206,511.50/x
  3. Step 3: Cross multiply
    136,416.50x = 206,511.50 × 206,511.50
  4. Step 4: Simplify right side
    136,416.50x = 42,646,999,632.25
  5. Step 5: Solve for x
    x = 42,646,999,632.25/136,416.50
  6. Step 6: Final answer
    x = 312,623.47

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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.