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Finding the Third Proportional to 282,438 and 620,848.50

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Solution

The third proportional to 282,438 and 620,848.50 is: 1,364,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,438 : 620,848.50 = 620,848.50 : x
  2. Step 2: Convert to fraction form
    282,438/620,848.50 = 620,848.50/x
  3. Step 3: Cross multiply
    282,438x = 620,848.50 × 620,848.50
  4. Step 4: Simplify right side
    282,438x = 385,452,859,952.25
  5. Step 5: Solve for x
    x = 385,452,859,952.25/282,438
  6. Step 6: Final answer
    x = 1,364,734.42

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