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Finding the Third Proportional to 216,848 and 521,763

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Solution

The third proportional to 216,848 and 521,763 is: 1,255,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,848 : 521,763 = 521,763 : x
  2. Step 2: Convert to fraction form
    216,848/521,763 = 521,763/x
  3. Step 3: Cross multiply
    216,848x = 521,763 × 521,763
  4. Step 4: Simplify right side
    216,848x = 272,236,628,169
  5. Step 5: Solve for x
    x = 272,236,628,169/216,848
  6. Step 6: Final answer
    x = 1,255,426.05

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.