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Finding the Third Proportional to 109,109,286 and 238,217,639.25

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Solution

The third proportional to 109,109,286 and 238,217,639.25 is: 520,099,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,109,286 : 238,217,639.25 = 238,217,639.25 : x
  2. Step 2: Convert to fraction form
    109,109,286/238,217,639.25 = 238,217,639.25/x
  3. Step 3: Cross multiply
    109,109,286x = 238,217,639.25 × 238,217,639.25
  4. Step 4: Simplify right side
    109,109,286x = 56,747,643,649,843,144
  5. Step 5: Solve for x
    x = 56,747,643,649,843,144/109,109,286
  6. Step 6: Final answer
    x = 520,099,120.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.