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Finding the Third Proportional to 307,837.13 and 491,764.50

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Solution

The third proportional to 307,837.13 and 491,764.50 is: 785,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,837.13 : 491,764.50 = 491,764.50 : x
  2. Step 2: Convert to fraction form
    307,837.13/491,764.50 = 491,764.50/x
  3. Step 3: Cross multiply
    307,837.13x = 491,764.50 × 491,764.50
  4. Step 4: Simplify right side
    307,837.13x = 241,832,323,460.25
  5. Step 5: Solve for x
    x = 241,832,323,460.25/307,837.13
  6. Step 6: Final answer
    x = 785,585.31

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.