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Finding the Third Proportional to 208,609 and 456,583

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Solution

The third proportional to 208,609 and 456,583 is: 999,324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,609 : 456,583 = 456,583 : x
  2. Step 2: Convert to fraction form
    208,609/456,583 = 456,583/x
  3. Step 3: Cross multiply
    208,609x = 456,583 × 456,583
  4. Step 4: Simplify right side
    208,609x = 208,468,035,889
  5. Step 5: Solve for x
    x = 208,468,035,889/208,609
  6. Step 6: Final answer
    x = 999,324.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.