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Finding the Third Proportional to 313.60 and 469.51

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Solution

The third proportional to 313.60 and 469.51 is: 702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.60 : 469.51 = 469.51 : x
  2. Step 2: Convert to fraction form
    313.60/469.51 = 469.51/x
  3. Step 3: Cross multiply
    313.60x = 469.51 × 469.51
  4. Step 4: Simplify right side
    313.60x = 220,437.13
  5. Step 5: Solve for x
    x = 220,437.13/313.60
  6. Step 6: Final answer
    x = 702.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.