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Finding the Third Proportional to 307,813.50 and 491,746.50

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Solution

The third proportional to 307,813.50 and 491,746.50 is: 785,588.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,813.50 : 491,746.50 = 491,746.50 : x
  2. Step 2: Convert to fraction form
    307,813.50/491,746.50 = 491,746.50/x
  3. Step 3: Cross multiply
    307,813.50x = 491,746.50 × 491,746.50
  4. Step 4: Simplify right side
    307,813.50x = 241,814,620,262.25
  5. Step 5: Solve for x
    x = 241,814,620,262.25/307,813.50
  6. Step 6: Final answer
    x = 785,588.09

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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.