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Finding the Third Proportional to 302,116 and 664,971

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Solution

The third proportional to 302,116 and 664,971 is: 1,463,631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,116 : 664,971 = 664,971 : x
  2. Step 2: Convert to fraction form
    302,116/664,971 = 664,971/x
  3. Step 3: Cross multiply
    302,116x = 664,971 × 664,971
  4. Step 4: Simplify right side
    302,116x = 442,186,430,841
  5. Step 5: Solve for x
    x = 442,186,430,841/302,116
  6. Step 6: Final answer
    x = 1,463,631.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.