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Finding the Third Proportional to 201,625,821 and 311,392,959.25

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Solution

The third proportional to 201,625,821 and 311,392,959.25 is: 480,918,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,625,821 : 311,392,959.25 = 311,392,959.25 : x
  2. Step 2: Convert to fraction form
    201,625,821/311,392,959.25 = 311,392,959.25/x
  3. Step 3: Cross multiply
    201,625,821x = 311,392,959.25 × 311,392,959.25
  4. Step 4: Simplify right side
    201,625,821x = 96,965,575,070,472,160
  5. Step 5: Solve for x
    x = 96,965,575,070,472,160/201,625,821
  6. Step 6: Final answer
    x = 480,918,438.87

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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.