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Finding the Third Proportional to 349,768.13 and 413,636.63

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Solution

The third proportional to 349,768.13 and 413,636.63 is: 489,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,768.13 : 413,636.63 = 413,636.63 : x
  2. Step 2: Convert to fraction form
    349,768.13/413,636.63 = 413,636.63/x
  3. Step 3: Cross multiply
    349,768.13x = 413,636.63 × 413,636.63
  4. Step 4: Simplify right side
    349,768.13x = 171,095,257,541.39
  5. Step 5: Solve for x
    x = 171,095,257,541.39/349,768.13
  6. Step 6: Final answer
    x = 489,167.67

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.