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Finding the Third Proportional to 193,985 and 291,239

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Solution

The third proportional to 193,985 and 291,239 is: 437,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,985 : 291,239 = 291,239 : x
  2. Step 2: Convert to fraction form
    193,985/291,239 = 291,239/x
  3. Step 3: Cross multiply
    193,985x = 291,239 × 291,239
  4. Step 4: Simplify right side
    193,985x = 84,820,155,121
  5. Step 5: Solve for x
    x = 84,820,155,121/193,985
  6. Step 6: Final answer
    x = 437,251.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.