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Finding the Third Proportional to 31,954,720 and 69,888,170

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Solution

The third proportional to 31,954,720 and 69,888,170 is: 152,852,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,954,720 : 69,888,170 = 69,888,170 : x
  2. Step 2: Convert to fraction form
    31,954,720/69,888,170 = 69,888,170/x
  3. Step 3: Cross multiply
    31,954,720x = 69,888,170 × 69,888,170
  4. Step 4: Simplify right side
    31,954,720x = 4,884,356,305,948,900
  5. Step 5: Solve for x
    x = 4,884,356,305,948,900/31,954,720
  6. Step 6: Final answer
    x = 152,852,420.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.