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Finding the Third Proportional to 313.10 and 488.95

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Solution

The third proportional to 313.10 and 488.95 is: 763.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.10 : 488.95 = 488.95 : x
  2. Step 2: Convert to fraction form
    313.10/488.95 = 488.95/x
  3. Step 3: Cross multiply
    313.10x = 488.95 × 488.95
  4. Step 4: Simplify right side
    313.10x = 239,075.16
  5. Step 5: Solve for x
    x = 239,075.16/313.10
  6. Step 6: Final answer
    x = 763.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.