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Finding the Third Proportional to 309,261 and 671,001

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Solution

The third proportional to 309,261 and 671,001 is: 1,455,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,261 : 671,001 = 671,001 : x
  2. Step 2: Convert to fraction form
    309,261/671,001 = 671,001/x
  3. Step 3: Cross multiply
    309,261x = 671,001 × 671,001
  4. Step 4: Simplify right side
    309,261x = 450,242,342,001
  5. Step 5: Solve for x
    x = 450,242,342,001/309,261
  6. Step 6: Final answer
    x = 1,455,865.25

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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.