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Finding the Third Proportional to 245,563 and 346,611

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Solution

The third proportional to 245,563 and 346,611 is: 489,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,563 : 346,611 = 346,611 : x
  2. Step 2: Convert to fraction form
    245,563/346,611 = 346,611/x
  3. Step 3: Cross multiply
    245,563x = 346,611 × 346,611
  4. Step 4: Simplify right side
    245,563x = 120,139,185,321
  5. Step 5: Solve for x
    x = 120,139,185,321/245,563
  6. Step 6: Final answer
    x = 489,239.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.