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Finding the Third Proportional to 142,806 and 219,676.50

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Solution

The third proportional to 142,806 and 219,676.50 is: 337,925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,806 : 219,676.50 = 219,676.50 : x
  2. Step 2: Convert to fraction form
    142,806/219,676.50 = 219,676.50/x
  3. Step 3: Cross multiply
    142,806x = 219,676.50 × 219,676.50
  4. Step 4: Simplify right side
    142,806x = 48,257,764,652.25
  5. Step 5: Solve for x
    x = 48,257,764,652.25/142,806
  6. Step 6: Final answer
    x = 337,925.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.