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Finding the Third Proportional to 282,840 and 620,106

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Solution

The third proportional to 282,840 and 620,106 is: 1,359,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,840 : 620,106 = 620,106 : x
  2. Step 2: Convert to fraction form
    282,840/620,106 = 620,106/x
  3. Step 3: Cross multiply
    282,840x = 620,106 × 620,106
  4. Step 4: Simplify right side
    282,840x = 384,531,451,236
  5. Step 5: Solve for x
    x = 384,531,451,236/282,840
  6. Step 6: Final answer
    x = 1,359,537.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.