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Finding the Third Proportional to 18,401,920 and 27,860,784

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Solution

The third proportional to 18,401,920 and 27,860,784 is: 42,181,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,401,920 : 27,860,784 = 27,860,784 : x
  2. Step 2: Convert to fraction form
    18,401,920/27,860,784 = 27,860,784/x
  3. Step 3: Cross multiply
    18,401,920x = 27,860,784 × 27,860,784
  4. Step 4: Simplify right side
    18,401,920x = 776,223,285,094,656
  5. Step 5: Solve for x
    x = 776,223,285,094,656/18,401,920
  6. Step 6: Final answer
    x = 42,181,646.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.