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Finding the Third Proportional to 8,647,782.75 and 12,711,357

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Solution

The third proportional to 8,647,782.75 and 12,711,357 is: 18,684,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647,782.75 : 12,711,357 = 12,711,357 : x
  2. Step 2: Convert to fraction form
    8,647,782.75/12,711,357 = 12,711,357/x
  3. Step 3: Cross multiply
    8,647,782.75x = 12,711,357 × 12,711,357
  4. Step 4: Simplify right side
    8,647,782.75x = 161,578,596,781,449
  5. Step 5: Solve for x
    x = 161,578,596,781,449/8,647,782.75
  6. Step 6: Final answer
    x = 18,684,395.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.