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Finding the Third Proportional to 119,664 and 259,140

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Solution

The third proportional to 119,664 and 259,140 is: 561,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,664 : 259,140 = 259,140 : x
  2. Step 2: Convert to fraction form
    119,664/259,140 = 259,140/x
  3. Step 3: Cross multiply
    119,664x = 259,140 × 259,140
  4. Step 4: Simplify right side
    119,664x = 67,153,539,600
  5. Step 5: Solve for x
    x = 67,153,539,600/119,664
  6. Step 6: Final answer
    x = 561,184.15

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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.