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Finding the Third Proportional to 220,830 and 342,575

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Solution

The third proportional to 220,830 and 342,575 is: 531,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,830 : 342,575 = 342,575 : x
  2. Step 2: Convert to fraction form
    220,830/342,575 = 342,575/x
  3. Step 3: Cross multiply
    220,830x = 342,575 × 342,575
  4. Step 4: Simplify right side
    220,830x = 117,357,630,625
  5. Step 5: Solve for x
    x = 117,357,630,625/220,830
  6. Step 6: Final answer
    x = 531,438.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.