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Finding the Third Proportional to 5,385,909 and 11,785,288.50

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Solution

The third proportional to 5,385,909 and 11,785,288.50 is: 25,788,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385,909 : 11,785,288.50 = 11,785,288.50 : x
  2. Step 2: Convert to fraction form
    5,385,909/11,785,288.50 = 11,785,288.50/x
  3. Step 3: Cross multiply
    5,385,909x = 11,785,288.50 × 11,785,288.50
  4. Step 4: Simplify right side
    5,385,909x = 138,893,025,028,232.25
  5. Step 5: Solve for x
    x = 138,893,025,028,232.25/5,385,909
  6. Step 6: Final answer
    x = 25,788,223.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.