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Finding the Third Proportional to 190,691.44 and 258,980.63

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Solution

The third proportional to 190,691.44 and 258,980.63 is: 351,725.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,691.44 : 258,980.63 = 258,980.63 : x
  2. Step 2: Convert to fraction form
    190,691.44/258,980.63 = 258,980.63/x
  3. Step 3: Cross multiply
    190,691.44x = 258,980.63 × 258,980.63
  4. Step 4: Simplify right side
    190,691.44x = 67,070,964,125.39
  5. Step 5: Solve for x
    x = 67,070,964,125.39/190,691.44
  6. Step 6: Final answer
    x = 351,725.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.