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Finding the Third Proportional to 101,408,608 and 221,400,127

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Solution

The third proportional to 101,408,608 and 221,400,127 is: 483,371,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,408,608 : 221,400,127 = 221,400,127 : x
  2. Step 2: Convert to fraction form
    101,408,608/221,400,127 = 221,400,127/x
  3. Step 3: Cross multiply
    101,408,608x = 221,400,127 × 221,400,127
  4. Step 4: Simplify right side
    101,408,608x = 49,018,016,235,616,128
  5. Step 5: Solve for x
    x = 49,018,016,235,616,128/101,408,608
  6. Step 6: Final answer
    x = 483,371,354.78

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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.