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Finding the Third Proportional to 248,990 and 389,031

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Solution

The third proportional to 248,990 and 389,031 is: 607,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,990 : 389,031 = 389,031 : x
  2. Step 2: Convert to fraction form
    248,990/389,031 = 389,031/x
  3. Step 3: Cross multiply
    248,990x = 389,031 × 389,031
  4. Step 4: Simplify right side
    248,990x = 151,345,118,961
  5. Step 5: Solve for x
    x = 151,345,118,961/248,990
  6. Step 6: Final answer
    x = 607,836.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.