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Finding the Third Proportional to 248,218,074 and 399,945,440

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Solution

The third proportional to 248,218,074 and 399,945,440 is: 644,418,645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,218,074 : 399,945,440 = 399,945,440 : x
  2. Step 2: Convert to fraction form
    248,218,074/399,945,440 = 399,945,440/x
  3. Step 3: Cross multiply
    248,218,074x = 399,945,440 × 399,945,440
  4. Step 4: Simplify right side
    248,218,074x = 159,956,354,976,793,600
  5. Step 5: Solve for x
    x = 159,956,354,976,793,600/248,218,074
  6. Step 6: Final answer
    x = 644,418,645.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.