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Finding the Third Proportional to 682,902 and 983,677.50

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Solution

The third proportional to 682,902 and 983,677.50 is: 1,416,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,902 : 983,677.50 = 983,677.50 : x
  2. Step 2: Convert to fraction form
    682,902/983,677.50 = 983,677.50/x
  3. Step 3: Cross multiply
    682,902x = 983,677.50 × 983,677.50
  4. Step 4: Simplify right side
    682,902x = 967,621,424,006.25
  5. Step 5: Solve for x
    x = 967,621,424,006.25/682,902
  6. Step 6: Final answer
    x = 1,416,925.74

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.