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Finding the Third Proportional to 624,489 and 892,363.50

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Solution

The third proportional to 624,489 and 892,363.50 is: 1,275,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,489 : 892,363.50 = 892,363.50 : x
  2. Step 2: Convert to fraction form
    624,489/892,363.50 = 892,363.50/x
  3. Step 3: Cross multiply
    624,489x = 892,363.50 × 892,363.50
  4. Step 4: Simplify right side
    624,489x = 796,312,616,132.25
  5. Step 5: Solve for x
    x = 796,312,616,132.25/624,489
  6. Step 6: Final answer
    x = 1,275,142.74

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.