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Finding the Third Proportional to 520,868 and 1,105,710

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Solution

The third proportional to 520,868 and 1,105,710 is: 2,347,225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,868 : 1,105,710 = 1,105,710 : x
  2. Step 2: Convert to fraction form
    520,868/1,105,710 = 1,105,710/x
  3. Step 3: Cross multiply
    520,868x = 1,105,710 × 1,105,710
  4. Step 4: Simplify right side
    520,868x = 1,222,594,604,100
  5. Step 5: Solve for x
    x = 1,222,594,604,100/520,868
  6. Step 6: Final answer
    x = 2,347,225.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.