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Finding the Third Proportional to 100,625,297 and 150,336,276

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Solution

The third proportional to 100,625,297 and 150,336,276 is: 224,605,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,625,297 : 150,336,276 = 150,336,276 : x
  2. Step 2: Convert to fraction form
    100,625,297/150,336,276 = 150,336,276/x
  3. Step 3: Cross multiply
    100,625,297x = 150,336,276 × 150,336,276
  4. Step 4: Simplify right side
    100,625,297x = 22,600,995,881,548,176
  5. Step 5: Solve for x
    x = 22,600,995,881,548,176/100,625,297
  6. Step 6: Final answer
    x = 224,605,507.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.