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Finding the Third Proportional to 20,431,070 and 30,469,431

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Solution

The third proportional to 20,431,070 and 30,469,431 is: 45,439,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431,070 : 30,469,431 = 30,469,431 : x
  2. Step 2: Convert to fraction form
    20,431,070/30,469,431 = 30,469,431/x
  3. Step 3: Cross multiply
    20,431,070x = 30,469,431 × 30,469,431
  4. Step 4: Simplify right side
    20,431,070x = 928,386,225,463,761
  5. Step 5: Solve for x
    x = 928,386,225,463,761/20,431,070
  6. Step 6: Final answer
    x = 45,439,921.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.