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Finding the Third Proportional to 430.13 and 683.81

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Solution

The third proportional to 430.13 and 683.81 is: 1,087.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.13 : 683.81 = 683.81 : x
  2. Step 2: Convert to fraction form
    430.13/683.81 = 683.81/x
  3. Step 3: Cross multiply
    430.13x = 683.81 × 683.81
  4. Step 4: Simplify right side
    430.13x = 467,599.54
  5. Step 5: Solve for x
    x = 467,599.54/430.13
  6. Step 6: Final answer
    x = 1,087.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.