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Finding the Third Proportional to 55,218,430 and 120,133,044.50

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Solution

The third proportional to 55,218,430 and 120,133,044.50 is: 261,361,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,218,430 : 120,133,044.50 = 120,133,044.50 : x
  2. Step 2: Convert to fraction form
    55,218,430/120,133,044.50 = 120,133,044.50/x
  3. Step 3: Cross multiply
    55,218,430x = 120,133,044.50 × 120,133,044.50
  4. Step 4: Simplify right side
    55,218,430x = 14,431,948,380,838,980
  5. Step 5: Solve for x
    x = 14,431,948,380,838,980/55,218,430
  6. Step 6: Final answer
    x = 261,361,077.83

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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.