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Finding the Third Proportional to 140,001,408 and 219,120,768

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Solution

The third proportional to 140,001,408 and 219,120,768 is: 342,953,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,001,408 : 219,120,768 = 219,120,768 : x
  2. Step 2: Convert to fraction form
    140,001,408/219,120,768 = 219,120,768/x
  3. Step 3: Cross multiply
    140,001,408x = 219,120,768 × 219,120,768
  4. Step 4: Simplify right side
    140,001,408x = 48,013,910,968,909,824
  5. Step 5: Solve for x
    x = 48,013,910,968,909,824/140,001,408
  6. Step 6: Final answer
    x = 342,953,057.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.