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Finding the Third Proportional to 221,510 and 520,043

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Solution

The third proportional to 221,510 and 520,043 is: 1,220,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,510 : 520,043 = 520,043 : x
  2. Step 2: Convert to fraction form
    221,510/520,043 = 520,043/x
  3. Step 3: Cross multiply
    221,510x = 520,043 × 520,043
  4. Step 4: Simplify right side
    221,510x = 270,444,721,849
  5. Step 5: Solve for x
    x = 270,444,721,849/221,510
  6. Step 6: Final answer
    x = 1,220,914.28

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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.