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Finding the Third Proportional to 245,136 and 346,880

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Solution

The third proportional to 245,136 and 346,880 is: 490,852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,136 : 346,880 = 346,880 : x
  2. Step 2: Convert to fraction form
    245,136/346,880 = 346,880/x
  3. Step 3: Cross multiply
    245,136x = 346,880 × 346,880
  4. Step 4: Simplify right side
    245,136x = 120,325,734,400
  5. Step 5: Solve for x
    x = 120,325,734,400/245,136
  6. Step 6: Final answer
    x = 490,852.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.