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Finding the Third Proportional to 289,644 and 614,248

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Solution

The third proportional to 289,644 and 614,248 is: 1,302,635.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,644 : 614,248 = 614,248 : x
  2. Step 2: Convert to fraction form
    289,644/614,248 = 614,248/x
  3. Step 3: Cross multiply
    289,644x = 614,248 × 614,248
  4. Step 4: Simplify right side
    289,644x = 377,300,605,504
  5. Step 5: Solve for x
    x = 377,300,605,504/289,644
  6. Step 6: Final answer
    x = 1,302,635.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.