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Finding the Third Proportional to 12,185,206.50 and 18,928,578

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Solution

The third proportional to 12,185,206.50 and 18,928,578 is: 29,403,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185,206.50 : 18,928,578 = 18,928,578 : x
  2. Step 2: Convert to fraction form
    12,185,206.50/18,928,578 = 18,928,578/x
  3. Step 3: Cross multiply
    12,185,206.50x = 18,928,578 × 18,928,578
  4. Step 4: Simplify right side
    12,185,206.50x = 358,291,065,102,084
  5. Step 5: Solve for x
    x = 358,291,065,102,084/12,185,206.50
  6. Step 6: Final answer
    x = 29,403,774.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.