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Finding the Third Proportional to 117,578,232 and 255,346,128

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Solution

The third proportional to 117,578,232 and 255,346,128 is: 554,538,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,578,232 : 255,346,128 = 255,346,128 : x
  2. Step 2: Convert to fraction form
    117,578,232/255,346,128 = 255,346,128/x
  3. Step 3: Cross multiply
    117,578,232x = 255,346,128 × 255,346,128
  4. Step 4: Simplify right side
    117,578,232x = 65,201,645,084,592,384
  5. Step 5: Solve for x
    x = 65,201,645,084,592,384/117,578,232
  6. Step 6: Final answer
    x = 554,538,403.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.