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Finding the Third Proportional to 258,030 and 398,710

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Solution

The third proportional to 258,030 and 398,710 is: 616,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,030 : 398,710 = 398,710 : x
  2. Step 2: Convert to fraction form
    258,030/398,710 = 398,710/x
  3. Step 3: Cross multiply
    258,030x = 398,710 × 398,710
  4. Step 4: Simplify right side
    258,030x = 158,969,664,100
  5. Step 5: Solve for x
    x = 158,969,664,100/258,030
  6. Step 6: Final answer
    x = 616,089.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.