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Finding the Third Proportional to 100,415,990 and 155,168,229

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Solution

The third proportional to 100,415,990 and 155,168,229 is: 239,774,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,415,990 : 155,168,229 = 155,168,229 : x
  2. Step 2: Convert to fraction form
    100,415,990/155,168,229 = 155,168,229/x
  3. Step 3: Cross multiply
    100,415,990x = 155,168,229 × 155,168,229
  4. Step 4: Simplify right side
    100,415,990x = 24,077,179,290,996,440
  5. Step 5: Solve for x
    x = 24,077,179,290,996,440/100,415,990
  6. Step 6: Final answer
    x = 239,774,355.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.