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Finding the Third Proportional to 312,175,876 and 672,299,528

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Solution

The third proportional to 312,175,876 and 672,299,528 is: 1,447,859,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,175,876 : 672,299,528 = 672,299,528 : x
  2. Step 2: Convert to fraction form
    312,175,876/672,299,528 = 672,299,528/x
  3. Step 3: Cross multiply
    312,175,876x = 672,299,528 × 672,299,528
  4. Step 4: Simplify right side
    312,175,876x = 451,986,655,349,022,784
  5. Step 5: Solve for x
    x = 451,986,655,349,022,784/312,175,876
  6. Step 6: Final answer
    x = 1,447,859,011.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.