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Finding the Third Proportional to 20,165,521 and 30,995,861.50

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Solution

The third proportional to 20,165,521 and 30,995,861.50 is: 47,642,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165,521 : 30,995,861.50 = 30,995,861.50 : x
  2. Step 2: Convert to fraction form
    20,165,521/30,995,861.50 = 30,995,861.50/x
  3. Step 3: Cross multiply
    20,165,521x = 30,995,861.50 × 30,995,861.50
  4. Step 4: Simplify right side
    20,165,521x = 960,743,430,127,182.25
  5. Step 5: Solve for x
    x = 960,743,430,127,182.25/20,165,521
  6. Step 6: Final answer
    x = 47,642,876.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.