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Finding the Third Proportional to 204,175,548 and 313,832,448

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Solution

The third proportional to 204,175,548 and 313,832,448 is: 482,382,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,175,548 : 313,832,448 = 313,832,448 : x
  2. Step 2: Convert to fraction form
    204,175,548/313,832,448 = 313,832,448/x
  3. Step 3: Cross multiply
    204,175,548x = 313,832,448 × 313,832,448
  4. Step 4: Simplify right side
    204,175,548x = 98,490,805,417,672,704
  5. Step 5: Solve for x
    x = 98,490,805,417,672,704/204,175,548
  6. Step 6: Final answer
    x = 482,382,961.05

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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.