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Finding the Third Proportional to 105,969,947 and 143,129,785

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Solution

The third proportional to 105,969,947 and 143,129,785 is: 193,320,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,969,947 : 143,129,785 = 143,129,785 : x
  2. Step 2: Convert to fraction form
    105,969,947/143,129,785 = 143,129,785/x
  3. Step 3: Cross multiply
    105,969,947x = 143,129,785 × 143,129,785
  4. Step 4: Simplify right side
    105,969,947x = 20,486,135,354,146,224
  5. Step 5: Solve for x
    x = 20,486,135,354,146,224/105,969,947
  6. Step 6: Final answer
    x = 193,320,237.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.