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Finding the Third Proportional to 140,751 and 205,655.63

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Solution

The third proportional to 140,751 and 205,655.63 is: 300,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,751 : 205,655.63 = 205,655.63 : x
  2. Step 2: Convert to fraction form
    140,751/205,655.63 = 205,655.63/x
  3. Step 3: Cross multiply
    140,751x = 205,655.63 × 205,655.63
  4. Step 4: Simplify right side
    140,751x = 42,294,236,094.14
  5. Step 5: Solve for x
    x = 42,294,236,094.14/140,751
  6. Step 6: Final answer
    x = 300,489.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.