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Finding the Third Proportional to 3,433,184.50 and 7,456,283

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Solution

The third proportional to 3,433,184.50 and 7,456,283 is: 16,193,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,184.50 : 7,456,283 = 7,456,283 : x
  2. Step 2: Convert to fraction form
    3,433,184.50/7,456,283 = 7,456,283/x
  3. Step 3: Cross multiply
    3,433,184.50x = 7,456,283 × 7,456,283
  4. Step 4: Simplify right side
    3,433,184.50x = 55,596,156,176,089
  5. Step 5: Solve for x
    x = 55,596,156,176,089/3,433,184.50
  6. Step 6: Final answer
    x = 16,193,757.19

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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.