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Finding the Third Proportional to 214,170 and 313,575

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Solution

The third proportional to 214,170 and 313,575 is: 459,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,170 : 313,575 = 313,575 : x
  2. Step 2: Convert to fraction form
    214,170/313,575 = 313,575/x
  3. Step 3: Cross multiply
    214,170x = 313,575 × 313,575
  4. Step 4: Simplify right side
    214,170x = 98,329,280,625
  5. Step 5: Solve for x
    x = 98,329,280,625/214,170
  6. Step 6: Final answer
    x = 459,117.90

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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.