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Finding the Third Proportional to 30,210 and 45,981

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Solution

The third proportional to 30,210 and 45,981 is: 69,985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,210 : 45,981 = 45,981 : x
  2. Step 2: Convert to fraction form
    30,210/45,981 = 45,981/x
  3. Step 3: Cross multiply
    30,210x = 45,981 × 45,981
  4. Step 4: Simplify right side
    30,210x = 2,114,252,361
  5. Step 5: Solve for x
    x = 2,114,252,361/30,210
  6. Step 6: Final answer
    x = 69,985.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.