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Finding the Third Proportional to 2,081,133,438 and 2,991,319,236

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Solution

The third proportional to 2,081,133,438 and 2,991,319,236 is: 4,299,575,706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,133,438 : 2,991,319,236 = 2,991,319,236 : x
  2. Step 2: Convert to fraction form
    2,081,133,438/2,991,319,236 = 2,991,319,236/x
  3. Step 3: Cross multiply
    2,081,133,438x = 2,991,319,236 × 2,991,319,236
  4. Step 4: Simplify right side
    2,081,133,438x = 8,947,990,771,663,624,192
  5. Step 5: Solve for x
    x = 8,947,990,771,663,624,192/2,081,133,438
  6. Step 6: Final answer
    x = 4,299,575,706.33

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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.