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Finding the Third Proportional to 365,880 and 555,306

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Solution

The third proportional to 365,880 and 555,306 is: 842,802.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,880 : 555,306 = 555,306 : x
  2. Step 2: Convert to fraction form
    365,880/555,306 = 555,306/x
  3. Step 3: Cross multiply
    365,880x = 555,306 × 555,306
  4. Step 4: Simplify right side
    365,880x = 308,364,753,636
  5. Step 5: Solve for x
    x = 308,364,753,636/365,880
  6. Step 6: Final answer
    x = 842,802.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.