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Finding the Third Proportional to 308,140 and 666,820

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Solution

The third proportional to 308,140 and 666,820 is: 1,443,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,140 : 666,820 = 666,820 : x
  2. Step 2: Convert to fraction form
    308,140/666,820 = 666,820/x
  3. Step 3: Cross multiply
    308,140x = 666,820 × 666,820
  4. Step 4: Simplify right side
    308,140x = 444,648,912,400
  5. Step 5: Solve for x
    x = 444,648,912,400/308,140
  6. Step 6: Final answer
    x = 1,443,009.39

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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.