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Finding the Third Proportional to 136,636.88 and 206,860.50

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Solution

The third proportional to 136,636.88 and 206,860.50 is: 313,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,636.88 : 206,860.50 = 206,860.50 : x
  2. Step 2: Convert to fraction form
    136,636.88/206,860.50 = 206,860.50/x
  3. Step 3: Cross multiply
    136,636.88x = 206,860.50 × 206,860.50
  4. Step 4: Simplify right side
    136,636.88x = 42,791,266,460.25
  5. Step 5: Solve for x
    x = 42,791,266,460.25/136,636.88
  6. Step 6: Final answer
    x = 313,175.10

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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.