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Finding the Third Proportional to 139,617.74 and 301,374.58

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Solution

The third proportional to 139,617.74 and 301,374.58 is: 650,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,617.74 : 301,374.58 = 301,374.58 : x
  2. Step 2: Convert to fraction form
    139,617.74/301,374.58 = 301,374.58/x
  3. Step 3: Cross multiply
    139,617.74x = 301,374.58 × 301,374.58
  4. Step 4: Simplify right side
    139,617.74x = 90,826,637,517.26
  5. Step 5: Solve for x
    x = 90,826,637,517.26/139,617.74
  6. Step 6: Final answer
    x = 650,537.95

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Why These Related Problems?

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