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Finding the Third Proportional to 306,712 and 662,672

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Solution

The third proportional to 306,712 and 662,672 is: 1,431,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,712 : 662,672 = 662,672 : x
  2. Step 2: Convert to fraction form
    306,712/662,672 = 662,672/x
  3. Step 3: Cross multiply
    306,712x = 662,672 × 662,672
  4. Step 4: Simplify right side
    306,712x = 439,134,179,584
  5. Step 5: Solve for x
    x = 439,134,179,584/306,712
  6. Step 6: Final answer
    x = 1,431,747.63

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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.