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Finding the Third Proportional to 418,485 and 911,701.50

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Solution

The third proportional to 418,485 and 911,701.50 is: 1,986,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,485 : 911,701.50 = 911,701.50 : x
  2. Step 2: Convert to fraction form
    418,485/911,701.50 = 911,701.50/x
  3. Step 3: Cross multiply
    418,485x = 911,701.50 × 911,701.50
  4. Step 4: Simplify right side
    418,485x = 831,199,625,102.25
  5. Step 5: Solve for x
    x = 831,199,625,102.25/418,485
  6. Step 6: Final answer
    x = 1,986,211.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.