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Finding the Third Proportional to 53,194,778 and 116,342,836

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Solution

The third proportional to 53,194,778 and 116,342,836 is: 254,454,591.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,194,778 : 116,342,836 = 116,342,836 : x
  2. Step 2: Convert to fraction form
    53,194,778/116,342,836 = 116,342,836/x
  3. Step 3: Cross multiply
    53,194,778x = 116,342,836 × 116,342,836
  4. Step 4: Simplify right side
    53,194,778x = 13,535,655,488,522,896
  5. Step 5: Solve for x
    x = 13,535,655,488,522,896/53,194,778
  6. Step 6: Final answer
    x = 254,454,591.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.