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Finding the Third Proportional to 101,290,414,476 and 215,681,203,896

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Solution

The third proportional to 101,290,414,476 and 215,681,203,896 is: 459,257,491,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,290,414,476 : 215,681,203,896 = 215,681,203,896 : x
  2. Step 2: Convert to fraction form
    101,290,414,476/215,681,203,896 = 215,681,203,896/x
  3. Step 3: Cross multiply
    101,290,414,476x = 215,681,203,896 × 215,681,203,896
  4. Step 4: Simplify right side
    101,290,414,476x = 46,518,381,714,027,927,568,384
  5. Step 5: Solve for x
    x = 46,518,381,714,027,927,568,384/101,290,414,476
  6. Step 6: Final answer
    x = 459,257,491,981.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.