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Finding the Third Proportional to 452,400.75 and 668,074.50

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Solution

The third proportional to 452,400.75 and 668,074.50 is: 986,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,400.75 : 668,074.50 = 668,074.50 : x
  2. Step 2: Convert to fraction form
    452,400.75/668,074.50 = 668,074.50/x
  3. Step 3: Cross multiply
    452,400.75x = 668,074.50 × 668,074.50
  4. Step 4: Simplify right side
    452,400.75x = 446,323,537,550.25
  5. Step 5: Solve for x
    x = 446,323,537,550.25/452,400.75
  6. Step 6: Final answer
    x = 986,566.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.