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Finding the Third Proportional to 423,623 and 660,443

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Solution

The third proportional to 423,623 and 660,443 is: 1,029,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,623 : 660,443 = 660,443 : x
  2. Step 2: Convert to fraction form
    423,623/660,443 = 660,443/x
  3. Step 3: Cross multiply
    423,623x = 660,443 × 660,443
  4. Step 4: Simplify right side
    423,623x = 436,184,956,249
  5. Step 5: Solve for x
    x = 436,184,956,249/423,623
  6. Step 6: Final answer
    x = 1,029,653.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.