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Finding the Third Proportional to 458,604 and 660,556

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Solution

The third proportional to 458,604 and 660,556 is: 951,440.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,604 : 660,556 = 660,556 : x
  2. Step 2: Convert to fraction form
    458,604/660,556 = 660,556/x
  3. Step 3: Cross multiply
    458,604x = 660,556 × 660,556
  4. Step 4: Simplify right side
    458,604x = 436,334,229,136
  5. Step 5: Solve for x
    x = 436,334,229,136/458,604
  6. Step 6: Final answer
    x = 951,440.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.