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Finding the Third Proportional to 140,973.54 and 218,618.79

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Solution

The third proportional to 140,973.54 and 218,618.79 is: 339,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,973.54 : 218,618.79 = 218,618.79 : x
  2. Step 2: Convert to fraction form
    140,973.54/218,618.79 = 218,618.79/x
  3. Step 3: Cross multiply
    140,973.54x = 218,618.79 × 218,618.79
  4. Step 4: Simplify right side
    140,973.54x = 47,794,174,931.15
  5. Step 5: Solve for x
    x = 47,794,174,931.15/140,973.54
  6. Step 6: Final answer
    x = 339,029.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.