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Finding the Third Proportional to 168,145,338 and 369,416,428

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Solution

The third proportional to 168,145,338 and 369,416,428 is: 811,610,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,145,338 : 369,416,428 = 369,416,428 : x
  2. Step 2: Convert to fraction form
    168,145,338/369,416,428 = 369,416,428/x
  3. Step 3: Cross multiply
    168,145,338x = 369,416,428 × 369,416,428
  4. Step 4: Simplify right side
    168,145,338x = 136,468,497,276,279,184
  5. Step 5: Solve for x
    x = 136,468,497,276,279,184/168,145,338
  6. Step 6: Final answer
    x = 811,610,353.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.