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Finding the Third Proportional to 30,215 and 46,689

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Solution

The third proportional to 30,215 and 46,689 is: 72,145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,215 : 46,689 = 46,689 : x
  2. Step 2: Convert to fraction form
    30,215/46,689 = 46,689/x
  3. Step 3: Cross multiply
    30,215x = 46,689 × 46,689
  4. Step 4: Simplify right side
    30,215x = 2,179,862,721
  5. Step 5: Solve for x
    x = 2,179,862,721/30,215
  6. Step 6: Final answer
    x = 72,145.05

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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.