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Finding the Third Proportional to 452,796 and 663,150

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Solution

The third proportional to 452,796 and 663,150 is: 971,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,796 : 663,150 = 663,150 : x
  2. Step 2: Convert to fraction form
    452,796/663,150 = 663,150/x
  3. Step 3: Cross multiply
    452,796x = 663,150 × 663,150
  4. Step 4: Simplify right side
    452,796x = 439,767,922,500
  5. Step 5: Solve for x
    x = 439,767,922,500/452,796
  6. Step 6: Final answer
    x = 971,227.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.