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Finding the Third Proportional to 4,738,020 and 7,278,178.50

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Solution

The third proportional to 4,738,020 and 7,278,178.50 is: 11,180,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738,020 : 7,278,178.50 = 7,278,178.50 : x
  2. Step 2: Convert to fraction form
    4,738,020/7,278,178.50 = 7,278,178.50/x
  3. Step 3: Cross multiply
    4,738,020x = 7,278,178.50 × 7,278,178.50
  4. Step 4: Simplify right side
    4,738,020x = 52,971,882,277,862.25
  5. Step 5: Solve for x
    x = 52,971,882,277,862.25/4,738,020
  6. Step 6: Final answer
    x = 11,180,172.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.