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Finding the Third Proportional to 450,432 and 989,455.50

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Solution

The third proportional to 450,432 and 989,455.50 is: 2,173,518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,432 : 989,455.50 = 989,455.50 : x
  2. Step 2: Convert to fraction form
    450,432/989,455.50 = 989,455.50/x
  3. Step 3: Cross multiply
    450,432x = 989,455.50 × 989,455.50
  4. Step 4: Simplify right side
    450,432x = 979,022,186,480.25
  5. Step 5: Solve for x
    x = 979,022,186,480.25/450,432
  6. Step 6: Final answer
    x = 2,173,518.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.