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Finding the Third Proportional to 185,389,221 and 280,469,859

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Solution

The third proportional to 185,389,221 and 280,469,859 is: 424,314,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,389,221 : 280,469,859 = 280,469,859 : x
  2. Step 2: Convert to fraction form
    185,389,221/280,469,859 = 280,469,859/x
  3. Step 3: Cross multiply
    185,389,221x = 280,469,859 × 280,469,859
  4. Step 4: Simplify right side
    185,389,221x = 78,663,341,807,479,888
  5. Step 5: Solve for x
    x = 78,663,341,807,479,888/185,389,221
  6. Step 6: Final answer
    x = 424,314,538.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.