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Finding the Third Proportional to 594.75 and 830.38

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Solution

The third proportional to 594.75 and 830.38 is: 1,159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.75 : 830.38 = 830.38 : x
  2. Step 2: Convert to fraction form
    594.75/830.38 = 830.38/x
  3. Step 3: Cross multiply
    594.75x = 830.38 × 830.38
  4. Step 4: Simplify right side
    594.75x = 689,522.64
  5. Step 5: Solve for x
    x = 689,522.64/594.75
  6. Step 6: Final answer
    x = 1,159.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.