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Finding the Third Proportional to 306,658 and 671,636

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Solution

The third proportional to 306,658 and 671,636 is: 1,471,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,658 : 671,636 = 671,636 : x
  2. Step 2: Convert to fraction form
    306,658/671,636 = 671,636/x
  3. Step 3: Cross multiply
    306,658x = 671,636 × 671,636
  4. Step 4: Simplify right side
    306,658x = 451,094,916,496
  5. Step 5: Solve for x
    x = 451,094,916,496/306,658
  6. Step 6: Final answer
    x = 1,471,003.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.