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Finding the Third Proportional to 305,264 and 671,430

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Solution

The third proportional to 305,264 and 671,430 is: 1,476,814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,264 : 671,430 = 671,430 : x
  2. Step 2: Convert to fraction form
    305,264/671,430 = 671,430/x
  3. Step 3: Cross multiply
    305,264x = 671,430 × 671,430
  4. Step 4: Simplify right side
    305,264x = 450,818,244,900
  5. Step 5: Solve for x
    x = 450,818,244,900/305,264
  6. Step 6: Final answer
    x = 1,476,814.31

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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.