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Finding the Third Proportional to 145.41 and 312.05

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Solution

The third proportional to 145.41 and 312.05 is: 669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.41 : 312.05 = 312.05 : x
  2. Step 2: Convert to fraction form
    145.41/312.05 = 312.05/x
  3. Step 3: Cross multiply
    145.41x = 312.05 × 312.05
  4. Step 4: Simplify right side
    145.41x = 97,373.25
  5. Step 5: Solve for x
    x = 97,373.25/145.41
  6. Step 6: Final answer
    x = 669.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.