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Finding the Third Proportional to 139,074 and 258,283

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Solution

The third proportional to 139,074 and 258,283 is: 479,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,074 : 258,283 = 258,283 : x
  2. Step 2: Convert to fraction form
    139,074/258,283 = 258,283/x
  3. Step 3: Cross multiply
    139,074x = 258,283 × 258,283
  4. Step 4: Simplify right side
    139,074x = 66,710,108,089
  5. Step 5: Solve for x
    x = 66,710,108,089/139,074
  6. Step 6: Final answer
    x = 479,673.47

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.