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Finding the Third Proportional to 115,558,588,044 and 234,366,420,456

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Solution

The third proportional to 115,558,588,044 and 234,366,420,456 is: 475,322,691,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,558,588,044 : 234,366,420,456 = 234,366,420,456 : x
  2. Step 2: Convert to fraction form
    115,558,588,044/234,366,420,456 = 234,366,420,456/x
  3. Step 3: Cross multiply
    115,558,588,044x = 234,366,420,456 × 234,366,420,456
  4. Step 4: Simplify right side
    115,558,588,044x = 54,927,619,037,358,576,369,664
  5. Step 5: Solve for x
    x = 54,927,619,037,358,576,369,664/115,558,588,044
  6. Step 6: Final answer
    x = 475,322,691,001.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.