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Finding the Third Proportional to 9,199,689.75 and 20,070,405

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Solution

The third proportional to 9,199,689.75 and 20,070,405 is: 43,786,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199,689.75 : 20,070,405 = 20,070,405 : x
  2. Step 2: Convert to fraction form
    9,199,689.75/20,070,405 = 20,070,405/x
  3. Step 3: Cross multiply
    9,199,689.75x = 20,070,405 × 20,070,405
  4. Step 4: Simplify right side
    9,199,689.75x = 402,821,156,864,025
  5. Step 5: Solve for x
    x = 402,821,156,864,025/9,199,689.75
  6. Step 6: Final answer
    x = 43,786,384.96

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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.