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Finding the Third Proportional to 20,240,822 and 31,135,485

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Solution

The third proportional to 20,240,822 and 31,135,485 is: 47,894,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,240,822 : 31,135,485 = 31,135,485 : x
  2. Step 2: Convert to fraction form
    20,240,822/31,135,485 = 31,135,485/x
  3. Step 3: Cross multiply
    20,240,822x = 31,135,485 × 31,135,485
  4. Step 4: Simplify right side
    20,240,822x = 969,418,426,185,225
  5. Step 5: Solve for x
    x = 969,418,426,185,225/20,240,822
  6. Step 6: Final answer
    x = 47,894,222.19

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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.