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Finding the Third Proportional to 425.04 and 683.02

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Solution

The third proportional to 425.04 and 683.02 is: 1,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.04 : 683.02 = 683.02 : x
  2. Step 2: Convert to fraction form
    425.04/683.02 = 683.02/x
  3. Step 3: Cross multiply
    425.04x = 683.02 × 683.02
  4. Step 4: Simplify right side
    425.04x = 466,510.34
  5. Step 5: Solve for x
    x = 466,510.34/425.04
  6. Step 6: Final answer
    x = 1,097.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.