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Finding the Third Proportional to 426,867 and 618,256.50

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Solution

The third proportional to 426,867 and 618,256.50 is: 895,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,867 : 618,256.50 = 618,256.50 : x
  2. Step 2: Convert to fraction form
    426,867/618,256.50 = 618,256.50/x
  3. Step 3: Cross multiply
    426,867x = 618,256.50 × 618,256.50
  4. Step 4: Simplify right side
    426,867x = 382,241,099,792.25
  5. Step 5: Solve for x
    x = 382,241,099,792.25/426,867
  6. Step 6: Final answer
    x = 895,457.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.