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Finding the Third Proportional to 208,635 and 312,810

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Solution

The third proportional to 208,635 and 312,810 is: 469,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,635 : 312,810 = 312,810 : x
  2. Step 2: Convert to fraction form
    208,635/312,810 = 312,810/x
  3. Step 3: Cross multiply
    208,635x = 312,810 × 312,810
  4. Step 4: Simplify right side
    208,635x = 97,850,096,100
  5. Step 5: Solve for x
    x = 97,850,096,100/208,635
  6. Step 6: Final answer
    x = 469,001.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.