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Finding the Third Proportional to 282,370.50 and 621,603

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Solution

The third proportional to 282,370.50 and 621,603 is: 1,368,380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,370.50 : 621,603 = 621,603 : x
  2. Step 2: Convert to fraction form
    282,370.50/621,603 = 621,603/x
  3. Step 3: Cross multiply
    282,370.50x = 621,603 × 621,603
  4. Step 4: Simplify right side
    282,370.50x = 386,390,289,609
  5. Step 5: Solve for x
    x = 386,390,289,609/282,370.50
  6. Step 6: Final answer
    x = 1,368,380.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.