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Finding the Third Proportional to 153,448,668 and 328,784,832

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Solution

The third proportional to 153,448,668 and 328,784,832 is: 704,466,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,448,668 : 328,784,832 = 328,784,832 : x
  2. Step 2: Convert to fraction form
    153,448,668/328,784,832 = 328,784,832/x
  3. Step 3: Cross multiply
    153,448,668x = 328,784,832 × 328,784,832
  4. Step 4: Simplify right side
    153,448,668x = 108,099,465,753,268,224
  5. Step 5: Solve for x
    x = 108,099,465,753,268,224/153,448,668
  6. Step 6: Final answer
    x = 704,466,628.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.