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Finding the Third Proportional to 69,242,037 and 149,974,402

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Solution

The third proportional to 69,242,037 and 149,974,402 is: 324,836,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,242,037 : 149,974,402 = 149,974,402 : x
  2. Step 2: Convert to fraction form
    69,242,037/149,974,402 = 149,974,402/x
  3. Step 3: Cross multiply
    69,242,037x = 149,974,402 × 149,974,402
  4. Step 4: Simplify right side
    69,242,037x = 22,492,321,255,257,604
  5. Step 5: Solve for x
    x = 22,492,321,255,257,604/69,242,037
  6. Step 6: Final answer
    x = 324,836,215.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.