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Finding the Third Proportional to 424,068.75 and 655,782.75

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Solution

The third proportional to 424,068.75 and 655,782.75 is: 1,014,106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,068.75 : 655,782.75 = 655,782.75 : x
  2. Step 2: Convert to fraction form
    424,068.75/655,782.75 = 655,782.75/x
  3. Step 3: Cross multiply
    424,068.75x = 655,782.75 × 655,782.75
  4. Step 4: Simplify right side
    424,068.75x = 430,051,015,197.56
  5. Step 5: Solve for x
    x = 430,051,015,197.56/424,068.75
  6. Step 6: Final answer
    x = 1,014,106.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.