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Finding the Third Proportional to 120,708 and 258,948

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Solution

The third proportional to 120,708 and 258,948 is: 555,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,708 : 258,948 = 258,948 : x
  2. Step 2: Convert to fraction form
    120,708/258,948 = 258,948/x
  3. Step 3: Cross multiply
    120,708x = 258,948 × 258,948
  4. Step 4: Simplify right side
    120,708x = 67,054,066,704
  5. Step 5: Solve for x
    x = 67,054,066,704/120,708
  6. Step 6: Final answer
    x = 555,506.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.