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Finding the Third Proportional to 279,072 and 572,832

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Solution

The third proportional to 279,072 and 572,832 is: 1,175,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,072 : 572,832 = 572,832 : x
  2. Step 2: Convert to fraction form
    279,072/572,832 = 572,832/x
  3. Step 3: Cross multiply
    279,072x = 572,832 × 572,832
  4. Step 4: Simplify right side
    279,072x = 328,136,500,224
  5. Step 5: Solve for x
    x = 328,136,500,224/279,072
  6. Step 6: Final answer
    x = 1,175,813.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.