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Finding the Third Proportional to 119,920 and 259,712

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Solution

The third proportional to 119,920 and 259,712 is: 562,461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,920 : 259,712 = 259,712 : x
  2. Step 2: Convert to fraction form
    119,920/259,712 = 259,712/x
  3. Step 3: Cross multiply
    119,920x = 259,712 × 259,712
  4. Step 4: Simplify right side
    119,920x = 67,450,322,944
  5. Step 5: Solve for x
    x = 67,450,322,944/119,920
  6. Step 6: Final answer
    x = 562,461.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.