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Finding the Third Proportional to 105,231,572,844 and 248,327,678,346

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Solution

The third proportional to 105,231,572,844 and 248,327,678,346 is: 586,008,877,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,231,572,844 : 248,327,678,346 = 248,327,678,346 : x
  2. Step 2: Convert to fraction form
    105,231,572,844/248,327,678,346 = 248,327,678,346/x
  3. Step 3: Cross multiply
    105,231,572,844x = 248,327,678,346 × 248,327,678,346
  4. Step 4: Simplify right side
    105,231,572,844x = 61,666,635,832,714,439,163,904
  5. Step 5: Solve for x
    x = 61,666,635,832,714,439,163,904/105,231,572,844
  6. Step 6: Final answer
    x = 586,008,877,051.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.