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Finding the Third Proportional to 313,906,392 and 733,193,712

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Solution

The third proportional to 313,906,392 and 733,193,712 is: 1,712,526,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,906,392 : 733,193,712 = 733,193,712 : x
  2. Step 2: Convert to fraction form
    313,906,392/733,193,712 = 733,193,712/x
  3. Step 3: Cross multiply
    313,906,392x = 733,193,712 × 733,193,712
  4. Step 4: Simplify right side
    313,906,392x = 537,573,019,316,338,944
  5. Step 5: Solve for x
    x = 537,573,019,316,338,944/313,906,392
  6. Step 6: Final answer
    x = 1,712,526,514.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.