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Finding the Third Proportional to 398,569,300 and 561,028,824.50

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Solution

The third proportional to 398,569,300 and 561,028,824.50 is: 789,707,942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,569,300 : 561,028,824.50 = 561,028,824.50 : x
  2. Step 2: Convert to fraction form
    398,569,300/561,028,824.50 = 561,028,824.50/x
  3. Step 3: Cross multiply
    398,569,300x = 561,028,824.50 × 561,028,824.50
  4. Step 4: Simplify right side
    398,569,300x = 314,753,341,919,851,776
  5. Step 5: Solve for x
    x = 314,753,341,919,851,776/398,569,300
  6. Step 6: Final answer
    x = 789,707,942.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.