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Finding the Third Proportional to 30,390 and 46,005

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Solution

The third proportional to 30,390 and 46,005 is: 69,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,390 : 46,005 = 46,005 : x
  2. Step 2: Convert to fraction form
    30,390/46,005 = 46,005/x
  3. Step 3: Cross multiply
    30,390x = 46,005 × 46,005
  4. Step 4: Simplify right side
    30,390x = 2,116,460,025
  5. Step 5: Solve for x
    x = 2,116,460,025/30,390
  6. Step 6: Final answer
    x = 69,643.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.