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Finding the Third Proportional to 428,854.50 and 932,408.72

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Solution

The third proportional to 428,854.50 and 932,408.72 is: 2,027,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,854.50 : 932,408.72 = 932,408.72 : x
  2. Step 2: Convert to fraction form
    428,854.50/932,408.72 = 932,408.72/x
  3. Step 3: Cross multiply
    428,854.50x = 932,408.72 × 932,408.72
  4. Step 4: Simplify right side
    428,854.50x = 869,386,018,801.02
  5. Step 5: Solve for x
    x = 869,386,018,801.02/428,854.50
  6. Step 6: Final answer
    x = 2,027,228.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.