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Finding the Third Proportional to 389,530,878.75 and 582,352,056

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Solution

The third proportional to 389,530,878.75 and 582,352,056 is: 870,621,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,530,878.75 : 582,352,056 = 582,352,056 : x
  2. Step 2: Convert to fraction form
    389,530,878.75/582,352,056 = 582,352,056/x
  3. Step 3: Cross multiply
    389,530,878.75x = 582,352,056 × 582,352,056
  4. Step 4: Simplify right side
    389,530,878.75x = 339,133,917,127,427,136
  5. Step 5: Solve for x
    x = 339,133,917,127,427,136/389,530,878.75
  6. Step 6: Final answer
    x = 870,621,395.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.