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Finding the Third Proportional to 306,824 and 414,540

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Solution

The third proportional to 306,824 and 414,540 is: 560,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,824 : 414,540 = 414,540 : x
  2. Step 2: Convert to fraction form
    306,824/414,540 = 414,540/x
  3. Step 3: Cross multiply
    306,824x = 414,540 × 414,540
  4. Step 4: Simplify right side
    306,824x = 171,843,411,600
  5. Step 5: Solve for x
    x = 171,843,411,600/306,824
  6. Step 6: Final answer
    x = 560,071.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.