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Finding the Third Proportional to 245,271 and 347,818

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Solution

The third proportional to 245,271 and 347,818 is: 493,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,271 : 347,818 = 347,818 : x
  2. Step 2: Convert to fraction form
    245,271/347,818 = 347,818/x
  3. Step 3: Cross multiply
    245,271x = 347,818 × 347,818
  4. Step 4: Simplify right side
    245,271x = 120,977,361,124
  5. Step 5: Solve for x
    x = 120,977,361,124/245,271
  6. Step 6: Final answer
    x = 493,239.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.