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Finding the Third Proportional to 320,292 and 491,141.50

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Solution

The third proportional to 320,292 and 491,141.50 is: 753,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,292 : 491,141.50 = 491,141.50 : x
  2. Step 2: Convert to fraction form
    320,292/491,141.50 = 491,141.50/x
  3. Step 3: Cross multiply
    320,292x = 491,141.50 × 491,141.50
  4. Step 4: Simplify right side
    320,292x = 241,219,973,022.25
  5. Step 5: Solve for x
    x = 241,219,973,022.25/320,292
  6. Step 6: Final answer
    x = 753,125.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.