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Finding the Third Proportional to 3,045.38 and 4,460.06

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Solution

The third proportional to 3,045.38 and 4,460.06 is: 6,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.38 : 4,460.06 = 4,460.06 : x
  2. Step 2: Convert to fraction form
    3,045.38/4,460.06 = 4,460.06/x
  3. Step 3: Cross multiply
    3,045.38x = 4,460.06 × 4,460.06
  4. Step 4: Simplify right side
    3,045.38x = 19,892,157.50
  5. Step 5: Solve for x
    x = 19,892,157.50/3,045.38
  6. Step 6: Final answer
    x = 6,531.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.