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Finding the Third Proportional to 153,449,478 and 328,786,428

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Solution

The third proportional to 153,449,478 and 328,786,428 is: 704,469,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,449,478 : 328,786,428 = 328,786,428 : x
  2. Step 2: Convert to fraction form
    153,449,478/328,786,428 = 328,786,428/x
  3. Step 3: Cross multiply
    153,449,478x = 328,786,428 × 328,786,428
  4. Step 4: Simplify right side
    153,449,478x = 108,100,515,236,999,184
  5. Step 5: Solve for x
    x = 108,100,515,236,999,184/153,449,478
  6. Step 6: Final answer
    x = 704,469,748.91

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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.