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Finding the Third Proportional to 116,760,192,426 and 254,922,575,346

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Solution

The third proportional to 116,760,192,426 and 254,922,575,346 is: 556,572,561,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,760,192,426 : 254,922,575,346 = 254,922,575,346 : x
  2. Step 2: Convert to fraction form
    116,760,192,426/254,922,575,346 = 254,922,575,346/x
  3. Step 3: Cross multiply
    116,760,192,426x = 254,922,575,346 × 254,922,575,346
  4. Step 4: Simplify right side
    116,760,192,426x = 64,985,519,421,037,050,068,992
  5. Step 5: Solve for x
    x = 64,985,519,421,037,050,068,992/116,760,192,426
  6. Step 6: Final answer
    x = 556,572,561,853.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.