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Finding the Third Proportional to 451,679 and 660,553

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Solution

The third proportional to 451,679 and 660,553 is: 966,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,679 : 660,553 = 660,553 : x
  2. Step 2: Convert to fraction form
    451,679/660,553 = 660,553/x
  3. Step 3: Cross multiply
    451,679x = 660,553 × 660,553
  4. Step 4: Simplify right side
    451,679x = 436,330,265,809
  5. Step 5: Solve for x
    x = 436,330,265,809/451,679
  6. Step 6: Final answer
    x = 966,018.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.