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Finding the Third Proportional to 418,819,991.50 and 920,721,912.50

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Solution

The third proportional to 418,819,991.50 and 920,721,912.50 is: 2,024,088,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,819,991.50 : 920,721,912.50 = 920,721,912.50 : x
  2. Step 2: Convert to fraction form
    418,819,991.50/920,721,912.50 = 920,721,912.50/x
  3. Step 3: Cross multiply
    418,819,991.50x = 920,721,912.50 × 920,721,912.50
  4. Step 4: Simplify right side
    418,819,991.50x = 847,728,840,157,657,600
  5. Step 5: Solve for x
    x = 847,728,840,157,657,600/418,819,991.50
  6. Step 6: Final answer
    x = 2,024,088,766.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.