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Finding the Third Proportional to 109,813,396 and 234,218,216

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Solution

The third proportional to 109,813,396 and 234,218,216 is: 499,558,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,813,396 : 234,218,216 = 234,218,216 : x
  2. Step 2: Convert to fraction form
    109,813,396/234,218,216 = 234,218,216/x
  3. Step 3: Cross multiply
    109,813,396x = 234,218,216 × 234,218,216
  4. Step 4: Simplify right side
    109,813,396x = 54,858,172,706,222,656
  5. Step 5: Solve for x
    x = 54,858,172,706,222,656/109,813,396
  6. Step 6: Final answer
    x = 499,558,111.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.