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Finding the Third Proportional to 140,890.64 and 312,165.77

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Solution

The third proportional to 140,890.64 and 312,165.77 is: 691,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,890.64 : 312,165.77 = 312,165.77 : x
  2. Step 2: Convert to fraction form
    140,890.64/312,165.77 = 312,165.77/x
  3. Step 3: Cross multiply
    140,890.64x = 312,165.77 × 312,165.77
  4. Step 4: Simplify right side
    140,890.64x = 97,447,470,105.83
  5. Step 5: Solve for x
    x = 97,447,470,105.83/140,890.64
  6. Step 6: Final answer
    x = 691,653.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.