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Finding the Third Proportional to 302,266 and 661,988

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Solution

The third proportional to 302,266 and 661,988 is: 1,449,809.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,266 : 661,988 = 661,988 : x
  2. Step 2: Convert to fraction form
    302,266/661,988 = 661,988/x
  3. Step 3: Cross multiply
    302,266x = 661,988 × 661,988
  4. Step 4: Simplify right side
    302,266x = 438,228,112,144
  5. Step 5: Solve for x
    x = 438,228,112,144/302,266
  6. Step 6: Final answer
    x = 1,449,809.48

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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.