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Finding the Third Proportional to 281,152 and 612,220

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Solution

The third proportional to 281,152 and 612,220 is: 1,333,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,152 : 612,220 = 612,220 : x
  2. Step 2: Convert to fraction form
    281,152/612,220 = 612,220/x
  3. Step 3: Cross multiply
    281,152x = 612,220 × 612,220
  4. Step 4: Simplify right side
    281,152x = 374,813,328,400
  5. Step 5: Solve for x
    x = 374,813,328,400/281,152
  6. Step 6: Final answer
    x = 1,333,134.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.