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Finding the Third Proportional to 119,653 and 259,118

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Solution

The third proportional to 119,653 and 259,118 is: 561,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,653 : 259,118 = 259,118 : x
  2. Step 2: Convert to fraction form
    119,653/259,118 = 259,118/x
  3. Step 3: Cross multiply
    119,653x = 259,118 × 259,118
  4. Step 4: Simplify right side
    119,653x = 67,142,137,924
  5. Step 5: Solve for x
    x = 67,142,137,924/119,653
  6. Step 6: Final answer
    x = 561,140.45

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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.