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Finding the Third Proportional to 12,291,423.75 and 18,468,812.25

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Solution

The third proportional to 12,291,423.75 and 18,468,812.25 is: 27,750,814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291,423.75 : 18,468,812.25 = 18,468,812.25 : x
  2. Step 2: Convert to fraction form
    12,291,423.75/18,468,812.25 = 18,468,812.25/x
  3. Step 3: Cross multiply
    12,291,423.75x = 18,468,812.25 × 18,468,812.25
  4. Step 4: Simplify right side
    12,291,423.75x = 341,097,025,925,750.06
  5. Step 5: Solve for x
    x = 341,097,025,925,750.06/12,291,423.75
  6. Step 6: Final answer
    x = 27,750,814.95

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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.