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Finding the Third Proportional to 316,440 and 682,357.50

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Solution

The third proportional to 316,440 and 682,357.50 is: 1,471,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,440 : 682,357.50 = 682,357.50 : x
  2. Step 2: Convert to fraction form
    316,440/682,357.50 = 682,357.50/x
  3. Step 3: Cross multiply
    316,440x = 682,357.50 × 682,357.50
  4. Step 4: Simplify right side
    316,440x = 465,611,757,806.25
  5. Step 5: Solve for x
    x = 465,611,757,806.25/316,440
  6. Step 6: Final answer
    x = 1,471,406.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.