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Finding the Third Proportional to 357,212 and 486,462

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Solution

The third proportional to 357,212 and 486,462 is: 662,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,212 : 486,462 = 486,462 : x
  2. Step 2: Convert to fraction form
    357,212/486,462 = 486,462/x
  3. Step 3: Cross multiply
    357,212x = 486,462 × 486,462
  4. Step 4: Simplify right side
    357,212x = 236,645,277,444
  5. Step 5: Solve for x
    x = 236,645,277,444/357,212
  6. Step 6: Final answer
    x = 662,478.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.