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Finding the Third Proportional to 53,743,762 and 109,743,320

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Solution

The third proportional to 53,743,762 and 109,743,320 is: 224,092,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,743,762 : 109,743,320 = 109,743,320 : x
  2. Step 2: Convert to fraction form
    53,743,762/109,743,320 = 109,743,320/x
  3. Step 3: Cross multiply
    53,743,762x = 109,743,320 × 109,743,320
  4. Step 4: Simplify right side
    53,743,762x = 12,043,596,284,622,400
  5. Step 5: Solve for x
    x = 12,043,596,284,622,400/53,743,762
  6. Step 6: Final answer
    x = 224,092,914.91

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