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Finding the Third Proportional to 90,008,515.50 and 196,371,216

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Solution

The third proportional to 90,008,515.50 and 196,371,216 is: 428,422,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,008,515.50 : 196,371,216 = 196,371,216 : x
  2. Step 2: Convert to fraction form
    90,008,515.50/196,371,216 = 196,371,216/x
  3. Step 3: Cross multiply
    90,008,515.50x = 196,371,216 × 196,371,216
  4. Step 4: Simplify right side
    90,008,515.50x = 38,561,654,473,318,656
  5. Step 5: Solve for x
    x = 38,561,654,473,318,656/90,008,515.50
  6. Step 6: Final answer
    x = 428,422,291.59

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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.