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Finding the Third Proportional to 39,927,834 and 81,743,778

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Solution

The third proportional to 39,927,834 and 81,743,778 is: 167,353,061.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,927,834 : 81,743,778 = 81,743,778 : x
  2. Step 2: Convert to fraction form
    39,927,834/81,743,778 = 81,743,778/x
  3. Step 3: Cross multiply
    39,927,834x = 81,743,778 × 81,743,778
  4. Step 4: Simplify right side
    39,927,834x = 6,682,045,241,713,284
  5. Step 5: Solve for x
    x = 6,682,045,241,713,284/39,927,834
  6. Step 6: Final answer
    x = 167,353,061.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.