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Finding the Third Proportional to 8,429,395.50 and 18,275,989.50

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Solution

The third proportional to 8,429,395.50 and 18,275,989.50 is: 39,624,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429,395.50 : 18,275,989.50 = 18,275,989.50 : x
  2. Step 2: Convert to fraction form
    8,429,395.50/18,275,989.50 = 18,275,989.50/x
  3. Step 3: Cross multiply
    8,429,395.50x = 18,275,989.50 × 18,275,989.50
  4. Step 4: Simplify right side
    8,429,395.50x = 334,011,792,204,110.25
  5. Step 5: Solve for x
    x = 334,011,792,204,110.25/8,429,395.50
  6. Step 6: Final answer
    x = 39,624,643.57

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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.