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Finding the Third Proportional to 305,493,957 and 680,134,374

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Solution

The third proportional to 305,493,957 and 680,134,374 is: 1,514,212,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,493,957 : 680,134,374 = 680,134,374 : x
  2. Step 2: Convert to fraction form
    305,493,957/680,134,374 = 680,134,374/x
  3. Step 3: Cross multiply
    305,493,957x = 680,134,374 × 680,134,374
  4. Step 4: Simplify right side
    305,493,957x = 462,582,766,696,371,904
  5. Step 5: Solve for x
    x = 462,582,766,696,371,904/305,493,957
  6. Step 6: Final answer
    x = 1,514,212,494.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.