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Finding the Third Proportional to 285,420 and 674,996

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Solution

The third proportional to 285,420 and 674,996 is: 1,596,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,420 : 674,996 = 674,996 : x
  2. Step 2: Convert to fraction form
    285,420/674,996 = 674,996/x
  3. Step 3: Cross multiply
    285,420x = 674,996 × 674,996
  4. Step 4: Simplify right side
    285,420x = 455,619,600,016
  5. Step 5: Solve for x
    x = 455,619,600,016/285,420
  6. Step 6: Final answer
    x = 1,596,312.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.