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Finding the Third Proportional to 210,476 and 315,954

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Solution

The third proportional to 210,476 and 315,954 is: 474,291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,476 : 315,954 = 315,954 : x
  2. Step 2: Convert to fraction form
    210,476/315,954 = 315,954/x
  3. Step 3: Cross multiply
    210,476x = 315,954 × 315,954
  4. Step 4: Simplify right side
    210,476x = 99,826,930,116
  5. Step 5: Solve for x
    x = 99,826,930,116/210,476
  6. Step 6: Final answer
    x = 474,291.27

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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.