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Finding the Third Proportional to 119,490 and 260,868

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Solution

The third proportional to 119,490 and 260,868 is: 569,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,490 : 260,868 = 260,868 : x
  2. Step 2: Convert to fraction form
    119,490/260,868 = 260,868/x
  3. Step 3: Cross multiply
    119,490x = 260,868 × 260,868
  4. Step 4: Simplify right side
    119,490x = 68,052,113,424
  5. Step 5: Solve for x
    x = 68,052,113,424/119,490
  6. Step 6: Final answer
    x = 569,521.41

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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.