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Finding the Third Proportional to 221,526 and 520,083

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Solution

The third proportional to 221,526 and 520,083 is: 1,221,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,526 : 520,083 = 520,083 : x
  2. Step 2: Convert to fraction form
    221,526/520,083 = 520,083/x
  3. Step 3: Cross multiply
    221,526x = 520,083 × 520,083
  4. Step 4: Simplify right side
    221,526x = 270,486,326,889
  5. Step 5: Solve for x
    x = 270,486,326,889/221,526
  6. Step 6: Final answer
    x = 1,221,013.91

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.