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Finding the Third Proportional to 90,405,015.75 and 196,221,813.75

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Solution

The third proportional to 90,405,015.75 and 196,221,813.75 is: 425,894,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,405,015.75 : 196,221,813.75 = 196,221,813.75 : x
  2. Step 2: Convert to fraction form
    90,405,015.75/196,221,813.75 = 196,221,813.75/x
  3. Step 3: Cross multiply
    90,405,015.75x = 196,221,813.75 × 196,221,813.75
  4. Step 4: Simplify right side
    90,405,015.75x = 38,503,000,191,339,688
  5. Step 5: Solve for x
    x = 38,503,000,191,339,688/90,405,015.75
  6. Step 6: Final answer
    x = 425,894,513.40

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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.