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Finding the Third Proportional to 31,282,424 and 65,425,012

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Solution

The third proportional to 31,282,424 and 65,425,012 is: 136,831,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282,424 : 65,425,012 = 65,425,012 : x
  2. Step 2: Convert to fraction form
    31,282,424/65,425,012 = 65,425,012/x
  3. Step 3: Cross multiply
    31,282,424x = 65,425,012 × 65,425,012
  4. Step 4: Simplify right side
    31,282,424x = 4,280,432,195,200,144
  5. Step 5: Solve for x
    x = 4,280,432,195,200,144/31,282,424
  6. Step 6: Final answer
    x = 136,831,857.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.