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Finding the Third Proportional to 245,282.50 and 509,017.75

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Solution

The third proportional to 245,282.50 and 509,017.75 is: 1,056,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,282.50 : 509,017.75 = 509,017.75 : x
  2. Step 2: Convert to fraction form
    245,282.50/509,017.75 = 509,017.75/x
  3. Step 3: Cross multiply
    245,282.50x = 509,017.75 × 509,017.75
  4. Step 4: Simplify right side
    245,282.50x = 259,099,069,815.06
  5. Step 5: Solve for x
    x = 259,099,069,815.06/245,282.50
  6. Step 6: Final answer
    x = 1,056,329.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.