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Finding the Third Proportional to 159,533,634,654 and 345,541,061,770

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Solution

The third proportional to 159,533,634,654 and 345,541,061,770 is: 748,422,899,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,533,634,654 : 345,541,061,770 = 345,541,061,770 : x
  2. Step 2: Convert to fraction form
    159,533,634,654/345,541,061,770 = 345,541,061,770/x
  3. Step 3: Cross multiply
    159,533,634,654x = 345,541,061,770 × 345,541,061,770
  4. Step 4: Simplify right side
    159,533,634,654x = 119,398,625,369,138,959,220,736
  5. Step 5: Solve for x
    x = 119,398,625,369,138,959,220,736/159,533,634,654
  6. Step 6: Final answer
    x = 748,422,899,209.27

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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.