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Finding the Third Proportional to 208,600 and 448,639

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Solution

The third proportional to 208,600 and 448,639 is: 964,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,600 : 448,639 = 448,639 : x
  2. Step 2: Convert to fraction form
    208,600/448,639 = 448,639/x
  3. Step 3: Cross multiply
    208,600x = 448,639 × 448,639
  4. Step 4: Simplify right side
    208,600x = 201,276,952,321
  5. Step 5: Solve for x
    x = 201,276,952,321/208,600
  6. Step 6: Final answer
    x = 964,894.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.