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Finding the Third Proportional to 140,197.69 and 305,771.16

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Solution

The third proportional to 140,197.69 and 305,771.16 is: 666,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,197.69 : 305,771.16 = 305,771.16 : x
  2. Step 2: Convert to fraction form
    140,197.69/305,771.16 = 305,771.16/x
  3. Step 3: Cross multiply
    140,197.69x = 305,771.16 × 305,771.16
  4. Step 4: Simplify right side
    140,197.69x = 93,495,999,994.46
  5. Step 5: Solve for x
    x = 93,495,999,994.46/140,197.69
  6. Step 6: Final answer
    x = 666,886.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.