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Finding the Third Proportional to 225,326,500 and 480,415,540

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Solution

The third proportional to 225,326,500 and 480,415,540 is: 1,024,287,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,326,500 : 480,415,540 = 480,415,540 : x
  2. Step 2: Convert to fraction form
    225,326,500/480,415,540 = 480,415,540/x
  3. Step 3: Cross multiply
    225,326,500x = 480,415,540 × 480,415,540
  4. Step 4: Simplify right side
    225,326,500x = 230,799,091,073,491,584
  5. Step 5: Solve for x
    x = 230,799,091,073,491,584/225,326,500
  6. Step 6: Final answer
    x = 1,024,287,383.30

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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.