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Finding the Third Proportional to 290,876,735.25 and 408,157,650

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Solution

The third proportional to 290,876,735.25 and 408,157,650 is: 572,725,993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,876,735.25 : 408,157,650 = 408,157,650 : x
  2. Step 2: Convert to fraction form
    290,876,735.25/408,157,650 = 408,157,650/x
  3. Step 3: Cross multiply
    290,876,735.25x = 408,157,650 × 408,157,650
  4. Step 4: Simplify right side
    290,876,735.25x = 166,592,667,253,522,496
  5. Step 5: Solve for x
    x = 166,592,667,253,522,496/290,876,735.25
  6. Step 6: Final answer
    x = 572,725,993.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.