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Finding the Third Proportional to 55,678,758 and 122,663,820

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Solution

The third proportional to 55,678,758 and 122,663,820 is: 270,236,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,678,758 : 122,663,820 = 122,663,820 : x
  2. Step 2: Convert to fraction form
    55,678,758/122,663,820 = 122,663,820/x
  3. Step 3: Cross multiply
    55,678,758x = 122,663,820 × 122,663,820
  4. Step 4: Simplify right side
    55,678,758x = 15,046,412,736,992,400
  5. Step 5: Solve for x
    x = 15,046,412,736,992,400/55,678,758
  6. Step 6: Final answer
    x = 270,236,141.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.