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Finding the Third Proportional to 193,488,940 and 420,988,844

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Solution

The third proportional to 193,488,940 and 420,988,844 is: 915,977,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,488,940 : 420,988,844 = 420,988,844 : x
  2. Step 2: Convert to fraction form
    193,488,940/420,988,844 = 420,988,844/x
  3. Step 3: Cross multiply
    193,488,940x = 420,988,844 × 420,988,844
  4. Step 4: Simplify right side
    193,488,940x = 177,231,606,772,456,320
  5. Step 5: Solve for x
    x = 177,231,606,772,456,320/193,488,940
  6. Step 6: Final answer
    x = 915,977,971.52

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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.