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Finding the Third Proportional to 430,987 and 682,111.50

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Solution

The third proportional to 430,987 and 682,111.50 is: 1,079,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,987 : 682,111.50 = 682,111.50 : x
  2. Step 2: Convert to fraction form
    430,987/682,111.50 = 682,111.50/x
  3. Step 3: Cross multiply
    430,987x = 682,111.50 × 682,111.50
  4. Step 4: Simplify right side
    430,987x = 465,276,098,432.25
  5. Step 5: Solve for x
    x = 465,276,098,432.25/430,987
  6. Step 6: Final answer
    x = 1,079,559.47

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.