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Finding the Third Proportional to 640,253,387.25 and 1,427,721,774.75

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Solution

The third proportional to 640,253,387.25 and 1,427,721,774.75 is: 3,183,723,048.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,253,387.25 : 1,427,721,774.75 = 1,427,721,774.75 : x
  2. Step 2: Convert to fraction form
    640,253,387.25/1,427,721,774.75 = 1,427,721,774.75/x
  3. Step 3: Cross multiply
    640,253,387.25x = 1,427,721,774.75 × 1,427,721,774.75
  4. Step 4: Simplify right side
    640,253,387.25x = 2,038,389,466,095,289,856
  5. Step 5: Solve for x
    x = 2,038,389,466,095,289,856/640,253,387.25
  6. Step 6: Final answer
    x = 3,183,723,048.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.