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Finding the Third Proportional to 30,078 and 46,755

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Solution

The third proportional to 30,078 and 46,755 is: 72,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078 : 46,755 = 46,755 : x
  2. Step 2: Convert to fraction form
    30,078/46,755 = 46,755/x
  3. Step 3: Cross multiply
    30,078x = 46,755 × 46,755
  4. Step 4: Simplify right side
    30,078x = 2,186,030,025
  5. Step 5: Solve for x
    x = 2,186,030,025/30,078
  6. Step 6: Final answer
    x = 72,678.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.