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Finding the Third Proportional to 148,089 and 211,620

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Solution

The third proportional to 148,089 and 211,620 is: 302,406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,089 : 211,620 = 211,620 : x
  2. Step 2: Convert to fraction form
    148,089/211,620 = 211,620/x
  3. Step 3: Cross multiply
    148,089x = 211,620 × 211,620
  4. Step 4: Simplify right side
    148,089x = 44,783,024,400
  5. Step 5: Solve for x
    x = 44,783,024,400/148,089
  6. Step 6: Final answer
    x = 302,406.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.