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Finding the Third Proportional to 55,778,712 and 120,819,568

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Solution

The third proportional to 55,778,712 and 120,819,568 is: 261,701,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,778,712 : 120,819,568 = 120,819,568 : x
  2. Step 2: Convert to fraction form
    55,778,712/120,819,568 = 120,819,568/x
  3. Step 3: Cross multiply
    55,778,712x = 120,819,568 × 120,819,568
  4. Step 4: Simplify right side
    55,778,712x = 14,597,368,011,706,624
  5. Step 5: Solve for x
    x = 14,597,368,011,706,624/55,778,712
  6. Step 6: Final answer
    x = 261,701,417.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.