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Finding the Third Proportional to 306,937 and 669,627

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Solution

The third proportional to 306,937 and 669,627 is: 1,460,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,937 : 669,627 = 669,627 : x
  2. Step 2: Convert to fraction form
    306,937/669,627 = 669,627/x
  3. Step 3: Cross multiply
    306,937x = 669,627 × 669,627
  4. Step 4: Simplify right side
    306,937x = 448,400,319,129
  5. Step 5: Solve for x
    x = 448,400,319,129/306,937
  6. Step 6: Final answer
    x = 1,460,887.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.