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Finding the Third Proportional to 1,988,595,090 and 2,991,195,018

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Solution

The third proportional to 1,988,595,090 and 2,991,195,018 is: 4,499,280,763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988,595,090 : 2,991,195,018 = 2,991,195,018 : x
  2. Step 2: Convert to fraction form
    1,988,595,090/2,991,195,018 = 2,991,195,018/x
  3. Step 3: Cross multiply
    1,988,595,090x = 2,991,195,018 × 2,991,195,018
  4. Step 4: Simplify right side
    1,988,595,090x = 8,947,247,635,708,020,736
  5. Step 5: Solve for x
    x = 8,947,247,635,708,020,736/1,988,595,090
  6. Step 6: Final answer
    x = 4,499,280,763.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.