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Finding the Third Proportional to 53,743,755 and 109,743,306

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Solution

The third proportional to 53,743,755 and 109,743,306 is: 224,092,886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,743,755 : 109,743,306 = 109,743,306 : x
  2. Step 2: Convert to fraction form
    53,743,755/109,743,306 = 109,743,306/x
  3. Step 3: Cross multiply
    53,743,755x = 109,743,306 × 109,743,306
  4. Step 4: Simplify right side
    53,743,755x = 12,043,593,211,809,636
  5. Step 5: Solve for x
    x = 12,043,593,211,809,636/53,743,755
  6. Step 6: Final answer
    x = 224,092,886.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.