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Finding the Third Proportional to 119,315 and 259,731

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Solution

The third proportional to 119,315 and 259,731 is: 565,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,315 : 259,731 = 259,731 : x
  2. Step 2: Convert to fraction form
    119,315/259,731 = 259,731/x
  3. Step 3: Cross multiply
    119,315x = 259,731 × 259,731
  4. Step 4: Simplify right side
    119,315x = 67,460,192,361
  5. Step 5: Solve for x
    x = 67,460,192,361/119,315
  6. Step 6: Final answer
    x = 565,395.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.