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Finding the Third Proportional to 840,137,566 and 1,213,749,193

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Solution

The third proportional to 840,137,566 and 1,213,749,193 is: 1,753,507,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,137,566 : 1,213,749,193 = 1,213,749,193 : x
  2. Step 2: Convert to fraction form
    840,137,566/1,213,749,193 = 1,213,749,193/x
  3. Step 3: Cross multiply
    840,137,566x = 1,213,749,193 × 1,213,749,193
  4. Step 4: Simplify right side
    840,137,566x = 1,473,187,103,508,151,296
  5. Step 5: Solve for x
    x = 1,473,187,103,508,151,296/840,137,566
  6. Step 6: Final answer
    x = 1,753,507,000.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.