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Finding the Third Proportional to 494,188,347 and 746,347,140

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Solution

The third proportional to 494,188,347 and 746,347,140 is: 1,127,169,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,188,347 : 746,347,140 = 746,347,140 : x
  2. Step 2: Convert to fraction form
    494,188,347/746,347,140 = 746,347,140/x
  3. Step 3: Cross multiply
    494,188,347x = 746,347,140 × 746,347,140
  4. Step 4: Simplify right side
    494,188,347x = 557,034,053,386,179,584
  5. Step 5: Solve for x
    x = 557,034,053,386,179,584/494,188,347
  6. Step 6: Final answer
    x = 1,127,169,543.29

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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.