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Finding the Third Proportional to 18,648,085.50 and 39,228,805.13

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Solution

The third proportional to 18,648,085.50 and 39,228,805.13 is: 82,523,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,648,085.50 : 39,228,805.13 = 39,228,805.13 : x
  2. Step 2: Convert to fraction form
    18,648,085.50/39,228,805.13 = 39,228,805.13/x
  3. Step 3: Cross multiply
    18,648,085.50x = 39,228,805.13 × 39,228,805.13
  4. Step 4: Simplify right side
    18,648,085.50x = 1,538,899,151,535,226.25
  5. Step 5: Solve for x
    x = 1,538,899,151,535,226.25/18,648,085.50
  6. Step 6: Final answer
    x = 82,523,171.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.