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Finding the Third Proportional to 282,523.50 and 620,815.50

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Solution

The third proportional to 282,523.50 and 620,815.50 is: 1,364,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,523.50 : 620,815.50 = 620,815.50 : x
  2. Step 2: Convert to fraction form
    282,523.50/620,815.50 = 620,815.50/x
  3. Step 3: Cross multiply
    282,523.50x = 620,815.50 × 620,815.50
  4. Step 4: Simplify right side
    282,523.50x = 385,411,885,040.25
  5. Step 5: Solve for x
    x = 385,411,885,040.25/282,523.50
  6. Step 6: Final answer
    x = 1,364,176.38

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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.