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Finding the Third Proportional to 30,368 and 66,715

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Solution

The third proportional to 30,368 and 66,715 is: 146,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,368 : 66,715 = 66,715 : x
  2. Step 2: Convert to fraction form
    30,368/66,715 = 66,715/x
  3. Step 3: Cross multiply
    30,368x = 66,715 × 66,715
  4. Step 4: Simplify right side
    30,368x = 4,450,891,225
  5. Step 5: Solve for x
    x = 4,450,891,225/30,368
  6. Step 6: Final answer
    x = 146,565.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.