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Finding the Third Proportional to 101,178,970,694 and 224,980,115,163

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Solution

The third proportional to 101,178,970,694 and 224,980,115,163 is: 500,262,573,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,178,970,694 : 224,980,115,163 = 224,980,115,163 : x
  2. Step 2: Convert to fraction form
    101,178,970,694/224,980,115,163 = 224,980,115,163/x
  3. Step 3: Cross multiply
    101,178,970,694x = 224,980,115,163 × 224,980,115,163
  4. Step 4: Simplify right side
    101,178,970,694x = 50,616,052,218,756,740,415,488
  5. Step 5: Solve for x
    x = 50,616,052,218,756,740,415,488/101,178,970,694
  6. Step 6: Final answer
    x = 500,262,573,058.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.