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Finding the Third Proportional to 403,749 and 869,701.50

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Solution

The third proportional to 403,749 and 869,701.50 is: 1,873,393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,749 : 869,701.50 = 869,701.50 : x
  2. Step 2: Convert to fraction form
    403,749/869,701.50 = 869,701.50/x
  3. Step 3: Cross multiply
    403,749x = 869,701.50 × 869,701.50
  4. Step 4: Simplify right side
    403,749x = 756,380,699,102.25
  5. Step 5: Solve for x
    x = 756,380,699,102.25/403,749
  6. Step 6: Final answer
    x = 1,873,393.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.