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Finding the Third Proportional to 137,256,439 and 209,100,753

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Solution

The third proportional to 137,256,439 and 209,100,753 is: 318,550,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,256,439 : 209,100,753 = 209,100,753 : x
  2. Step 2: Convert to fraction form
    137,256,439/209,100,753 = 209,100,753/x
  3. Step 3: Cross multiply
    137,256,439x = 209,100,753 × 209,100,753
  4. Step 4: Simplify right side
    137,256,439x = 43,723,124,905,167,008
  5. Step 5: Solve for x
    x = 43,723,124,905,167,008/137,256,439
  6. Step 6: Final answer
    x = 318,550,628.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.