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Finding the Third Proportional to 403,512 and 910,975.50

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Solution

The third proportional to 403,512 and 910,975.50 is: 2,056,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,512 : 910,975.50 = 910,975.50 : x
  2. Step 2: Convert to fraction form
    403,512/910,975.50 = 910,975.50/x
  3. Step 3: Cross multiply
    403,512x = 910,975.50 × 910,975.50
  4. Step 4: Simplify right side
    403,512x = 829,876,361,600.25
  5. Step 5: Solve for x
    x = 829,876,361,600.25/403,512
  6. Step 6: Final answer
    x = 2,056,633.66

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.