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Finding the Third Proportional to 6,811,933 and 11,352,767.50

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Solution

The third proportional to 6,811,933 and 11,352,767.50 is: 18,920,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811,933 : 11,352,767.50 = 11,352,767.50 : x
  2. Step 2: Convert to fraction form
    6,811,933/11,352,767.50 = 11,352,767.50/x
  3. Step 3: Cross multiply
    6,811,933x = 11,352,767.50 × 11,352,767.50
  4. Step 4: Simplify right side
    6,811,933x = 128,885,329,909,056.25
  5. Step 5: Solve for x
    x = 128,885,329,909,056.25/6,811,933
  6. Step 6: Final answer
    x = 18,920,522.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.