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Finding the Third Proportional to 3,047,676 and 4,480,476

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Solution

The third proportional to 3,047,676 and 4,480,476 is: 6,586,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047,676 : 4,480,476 = 4,480,476 : x
  2. Step 2: Convert to fraction form
    3,047,676/4,480,476 = 4,480,476/x
  3. Step 3: Cross multiply
    3,047,676x = 4,480,476 × 4,480,476
  4. Step 4: Simplify right side
    3,047,676x = 20,074,665,186,576
  5. Step 5: Solve for x
    x = 20,074,665,186,576/3,047,676
  6. Step 6: Final answer
    x = 6,586,876.42

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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.