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Finding the Third Proportional to 100,772,936 and 151,133,196

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Solution

The third proportional to 100,772,936 and 151,133,196 is: 226,660,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,772,936 : 151,133,196 = 151,133,196 : x
  2. Step 2: Convert to fraction form
    100,772,936/151,133,196 = 151,133,196/x
  3. Step 3: Cross multiply
    100,772,936x = 151,133,196 × 151,133,196
  4. Step 4: Simplify right side
    100,772,936x = 22,841,242,933,174,416
  5. Step 5: Solve for x
    x = 22,841,242,933,174,416/100,772,936
  6. Step 6: Final answer
    x = 226,660,488.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.