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Finding the Third Proportional to 20,158,029 and 31,128,165

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Solution

The third proportional to 20,158,029 and 31,128,165 is: 48,068,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,158,029 : 31,128,165 = 31,128,165 : x
  2. Step 2: Convert to fraction form
    20,158,029/31,128,165 = 31,128,165/x
  3. Step 3: Cross multiply
    20,158,029x = 31,128,165 × 31,128,165
  4. Step 4: Simplify right side
    20,158,029x = 968,962,656,267,225
  5. Step 5: Solve for x
    x = 968,962,656,267,225/20,158,029
  6. Step 6: Final answer
    x = 48,068,323.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.