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Finding the Third Proportional to 170,408 and 258,000

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Solution

The third proportional to 170,408 and 258,000 is: 390,615.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,408 : 258,000 = 258,000 : x
  2. Step 2: Convert to fraction form
    170,408/258,000 = 258,000/x
  3. Step 3: Cross multiply
    170,408x = 258,000 × 258,000
  4. Step 4: Simplify right side
    170,408x = 66,564,000,000
  5. Step 5: Solve for x
    x = 66,564,000,000/170,408
  6. Step 6: Final answer
    x = 390,615.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.