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Finding the Third Proportional to 409,907,938 and 885,132,814.50

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Solution

The third proportional to 409,907,938 and 885,132,814.50 is: 1,911,307,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,907,938 : 885,132,814.50 = 885,132,814.50 : x
  2. Step 2: Convert to fraction form
    409,907,938/885,132,814.50 = 885,132,814.50/x
  3. Step 3: Cross multiply
    409,907,938x = 885,132,814.50 × 885,132,814.50
  4. Step 4: Simplify right side
    409,907,938x = 783,460,099,304,691,456
  5. Step 5: Solve for x
    x = 783,460,099,304,691,456/409,907,938
  6. Step 6: Final answer
    x = 1,911,307,458.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.