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Finding the Third Proportional to 31,432,949 and 68,709,291

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Solution

The third proportional to 31,432,949 and 68,709,291 is: 150,191,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,432,949 : 68,709,291 = 68,709,291 : x
  2. Step 2: Convert to fraction form
    31,432,949/68,709,291 = 68,709,291/x
  3. Step 3: Cross multiply
    31,432,949x = 68,709,291 × 68,709,291
  4. Step 4: Simplify right side
    31,432,949x = 4,720,966,669,722,681
  5. Step 5: Solve for x
    x = 4,720,966,669,722,681/31,432,949
  6. Step 6: Final answer
    x = 150,191,656.21

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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.