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Finding the Third Proportional to 394,403,412 and 615,481,570

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Solution

The third proportional to 394,403,412 and 615,481,570 is: 960,482,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,403,412 : 615,481,570 = 615,481,570 : x
  2. Step 2: Convert to fraction form
    394,403,412/615,481,570 = 615,481,570/x
  3. Step 3: Cross multiply
    394,403,412x = 615,481,570 × 615,481,570
  4. Step 4: Simplify right side
    394,403,412x = 378,817,563,009,664,896
  5. Step 5: Solve for x
    x = 378,817,563,009,664,896/394,403,412
  6. Step 6: Final answer
    x = 960,482,469.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.