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Finding the Third Proportional to 306,029 and 662,878

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Solution

The third proportional to 306,029 and 662,878 is: 1,435,835.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,029 : 662,878 = 662,878 : x
  2. Step 2: Convert to fraction form
    306,029/662,878 = 662,878/x
  3. Step 3: Cross multiply
    306,029x = 662,878 × 662,878
  4. Step 4: Simplify right side
    306,029x = 439,407,242,884
  5. Step 5: Solve for x
    x = 439,407,242,884/306,029
  6. Step 6: Final answer
    x = 1,435,835.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.