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Finding the Third Proportional to 505,881 and 676,669.50

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Solution

The third proportional to 505,881 and 676,669.50 is: 905,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,881 : 676,669.50 = 676,669.50 : x
  2. Step 2: Convert to fraction form
    505,881/676,669.50 = 676,669.50/x
  3. Step 3: Cross multiply
    505,881x = 676,669.50 × 676,669.50
  4. Step 4: Simplify right side
    505,881x = 457,881,612,230.25
  5. Step 5: Solve for x
    x = 457,881,612,230.25/505,881
  6. Step 6: Final answer
    x = 905,117.24

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.