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Finding the Third Proportional to 10,448,211 and 16,145,140.50

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Solution

The third proportional to 10,448,211 and 16,145,140.50 is: 24,948,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448,211 : 16,145,140.50 = 16,145,140.50 : x
  2. Step 2: Convert to fraction form
    10,448,211/16,145,140.50 = 16,145,140.50/x
  3. Step 3: Cross multiply
    10,448,211x = 16,145,140.50 × 16,145,140.50
  4. Step 4: Simplify right side
    10,448,211x = 260,665,561,764,740.25
  5. Step 5: Solve for x
    x = 260,665,561,764,740.25/10,448,211
  6. Step 6: Final answer
    x = 24,948,343.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.