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Finding the Third Proportional to 140,206.36 and 305,788.92

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Solution

The third proportional to 140,206.36 and 305,788.92 is: 666,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,206.36 : 305,788.92 = 305,788.92 : x
  2. Step 2: Convert to fraction form
    140,206.36/305,788.92 = 305,788.92/x
  3. Step 3: Cross multiply
    140,206.36x = 305,788.92 × 305,788.92
  4. Step 4: Simplify right side
    140,206.36x = 93,506,864,741.47
  5. Step 5: Solve for x
    x = 93,506,864,741.47/140,206.36
  6. Step 6: Final answer
    x = 666,923.14

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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.