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Finding the Third Proportional to 140,380,851 and 302,957,359.50

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Solution

The third proportional to 140,380,851 and 302,957,359.50 is: 653,815,395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,380,851 : 302,957,359.50 = 302,957,359.50 : x
  2. Step 2: Convert to fraction form
    140,380,851/302,957,359.50 = 302,957,359.50/x
  3. Step 3: Cross multiply
    140,380,851x = 302,957,359.50 × 302,957,359.50
  4. Step 4: Simplify right side
    140,380,851x = 91,783,161,675,212,240
  5. Step 5: Solve for x
    x = 91,783,161,675,212,240/140,380,851
  6. Step 6: Final answer
    x = 653,815,395.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.