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Finding the Third Proportional to 310,709 and 665,668

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Solution

The third proportional to 310,709 and 665,668 is: 1,426,137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,709 : 665,668 = 665,668 : x
  2. Step 2: Convert to fraction form
    310,709/665,668 = 665,668/x
  3. Step 3: Cross multiply
    310,709x = 665,668 × 665,668
  4. Step 4: Simplify right side
    310,709x = 443,113,886,224
  5. Step 5: Solve for x
    x = 443,113,886,224/310,709
  6. Step 6: Final answer
    x = 1,426,137.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.