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Finding the Third Proportional to 282,402 and 550,615.50

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Solution

The third proportional to 282,402 and 550,615.50 is: 1,073,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,402 : 550,615.50 = 550,615.50 : x
  2. Step 2: Convert to fraction form
    282,402/550,615.50 = 550,615.50/x
  3. Step 3: Cross multiply
    282,402x = 550,615.50 × 550,615.50
  4. Step 4: Simplify right side
    282,402x = 303,177,428,840.25
  5. Step 5: Solve for x
    x = 303,177,428,840.25/282,402
  6. Step 6: Final answer
    x = 1,073,566.86

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.