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Finding the Third Proportional to 142,854 and 311,106

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Solution

The third proportional to 142,854 and 311,106 is: 677,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,854 : 311,106 = 311,106 : x
  2. Step 2: Convert to fraction form
    142,854/311,106 = 311,106/x
  3. Step 3: Cross multiply
    142,854x = 311,106 × 311,106
  4. Step 4: Simplify right side
    142,854x = 96,786,943,236
  5. Step 5: Solve for x
    x = 96,786,943,236/142,854
  6. Step 6: Final answer
    x = 677,523.51

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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.