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Finding the Third Proportional to 117,565,385,796 and 181,546,279,776

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Solution

The third proportional to 117,565,385,796 and 181,546,279,776 is: 280,346,561,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,565,385,796 : 181,546,279,776 = 181,546,279,776 : x
  2. Step 2: Convert to fraction form
    117,565,385,796/181,546,279,776 = 181,546,279,776/x
  3. Step 3: Cross multiply
    117,565,385,796x = 181,546,279,776 × 181,546,279,776
  4. Step 4: Simplify right side
    117,565,385,796x = 32,959,051,700,505,665,339,392
  5. Step 5: Solve for x
    x = 32,959,051,700,505,665,339,392/117,565,385,796
  6. Step 6: Final answer
    x = 280,346,561,850.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.