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Finding the Third Proportional to 225,326,380.50 and 480,415,302

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Solution

The third proportional to 225,326,380.50 and 480,415,302 is: 1,024,286,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,326,380.50 : 480,415,302 = 480,415,302 : x
  2. Step 2: Convert to fraction form
    225,326,380.50/480,415,302 = 480,415,302/x
  3. Step 3: Cross multiply
    225,326,380.50x = 480,415,302 × 480,415,302
  4. Step 4: Simplify right side
    225,326,380.50x = 230,798,862,395,751,200
  5. Step 5: Solve for x
    x = 230,798,862,395,751,200/225,326,380.50
  6. Step 6: Final answer
    x = 1,024,286,911.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.