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Finding the Third Proportional to 12,385,240 and 18,213,684

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Solution

The third proportional to 12,385,240 and 18,213,684 is: 26,784,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385,240 : 18,213,684 = 18,213,684 : x
  2. Step 2: Convert to fraction form
    12,385,240/18,213,684 = 18,213,684/x
  3. Step 3: Cross multiply
    12,385,240x = 18,213,684 × 18,213,684
  4. Step 4: Simplify right side
    12,385,240x = 331,738,284,851,856
  5. Step 5: Solve for x
    x = 331,738,284,851,856/12,385,240
  6. Step 6: Final answer
    x = 26,784,970.24

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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.