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Finding the Third Proportional to 394,403,392 and 615,481,560

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Solution

The third proportional to 394,403,392 and 615,481,560 is: 960,482,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,403,392 : 615,481,560 = 615,481,560 : x
  2. Step 2: Convert to fraction form
    394,403,392/615,481,560 = 615,481,560/x
  3. Step 3: Cross multiply
    394,403,392x = 615,481,560 × 615,481,560
  4. Step 4: Simplify right side
    394,403,392x = 378,817,550,700,033,600
  5. Step 5: Solve for x
    x = 378,817,550,700,033,600/394,403,392
  6. Step 6: Final answer
    x = 960,482,486.67

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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.