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Finding the Third Proportional to 4,771,920 and 7,227,381

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Solution

The third proportional to 4,771,920 and 7,227,381 is: 10,946,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771,920 : 7,227,381 = 7,227,381 : x
  2. Step 2: Convert to fraction form
    4,771,920/7,227,381 = 7,227,381/x
  3. Step 3: Cross multiply
    4,771,920x = 7,227,381 × 7,227,381
  4. Step 4: Simplify right side
    4,771,920x = 52,235,036,119,161
  5. Step 5: Solve for x
    x = 52,235,036,119,161/4,771,920
  6. Step 6: Final answer
    x = 10,946,335.25

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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.