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Finding the Third Proportional to 12,274,595 and 18,411,890

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Solution

The third proportional to 12,274,595 and 18,411,890 is: 27,617,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274,595 : 18,411,890 = 18,411,890 : x
  2. Step 2: Convert to fraction form
    12,274,595/18,411,890 = 18,411,890/x
  3. Step 3: Cross multiply
    12,274,595x = 18,411,890 × 18,411,890
  4. Step 4: Simplify right side
    12,274,595x = 338,997,693,372,100
  5. Step 5: Solve for x
    x = 338,997,693,372,100/12,274,595
  6. Step 6: Final answer
    x = 27,617,831.25

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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.