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Finding the Third Proportional to 12,429,235 and 29,299,163

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Solution

The third proportional to 12,429,235 and 29,299,163 is: 69,066,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429,235 : 29,299,163 = 29,299,163 : x
  2. Step 2: Convert to fraction form
    12,429,235/29,299,163 = 29,299,163/x
  3. Step 3: Cross multiply
    12,429,235x = 29,299,163 × 29,299,163
  4. Step 4: Simplify right side
    12,429,235x = 858,440,952,500,569
  5. Step 5: Solve for x
    x = 858,440,952,500,569/12,429,235
  6. Step 6: Final answer
    x = 69,066,274.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.