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Finding the Third Proportional to 201,625,840 and 311,392,989

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Solution

The third proportional to 201,625,840 and 311,392,989 is: 480,918,485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,625,840 : 311,392,989 = 311,392,989 : x
  2. Step 2: Convert to fraction form
    201,625,840/311,392,989 = 311,392,989/x
  3. Step 3: Cross multiply
    201,625,840x = 311,392,989 × 311,392,989
  4. Step 4: Simplify right side
    201,625,840x = 96,965,593,598,354,128
  5. Step 5: Solve for x
    x = 96,965,593,598,354,128/201,625,840
  6. Step 6: Final answer
    x = 480,918,485.44

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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.