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Finding the Third Proportional to 9,205,609.50 and 13,808,434.50

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Solution

The third proportional to 9,205,609.50 and 13,808,434.50 is: 20,712,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205,609.50 : 13,808,434.50 = 13,808,434.50 : x
  2. Step 2: Convert to fraction form
    9,205,609.50/13,808,434.50 = 13,808,434.50/x
  3. Step 3: Cross multiply
    9,205,609.50x = 13,808,434.50 × 13,808,434.50
  4. Step 4: Simplify right side
    9,205,609.50x = 190,672,863,340,790.25
  5. Step 5: Solve for x
    x = 190,672,863,340,790.25/9,205,609.50
  6. Step 6: Final answer
    x = 20,712,682.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.