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Finding the Third Proportional to 306,213 and 661,715

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Solution

The third proportional to 306,213 and 661,715 is: 1,429,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,213 : 661,715 = 661,715 : x
  2. Step 2: Convert to fraction form
    306,213/661,715 = 661,715/x
  3. Step 3: Cross multiply
    306,213x = 661,715 × 661,715
  4. Step 4: Simplify right side
    306,213x = 437,866,741,225
  5. Step 5: Solve for x
    x = 437,866,741,225/306,213
  6. Step 6: Final answer
    x = 1,429,941.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.