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Finding the Third Proportional to 408,352,560 and 627,667,136

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Solution

The third proportional to 408,352,560 and 627,667,136 is: 964,769,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,352,560 : 627,667,136 = 627,667,136 : x
  2. Step 2: Convert to fraction form
    408,352,560/627,667,136 = 627,667,136/x
  3. Step 3: Cross multiply
    408,352,560x = 627,667,136 × 627,667,136
  4. Step 4: Simplify right side
    408,352,560x = 393,966,033,614,442,496
  5. Step 5: Solve for x
    x = 393,966,033,614,442,496/408,352,560
  6. Step 6: Final answer
    x = 964,769,349.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.