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Finding the Third Proportional to 239,895 and 513,005

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Solution

The third proportional to 239,895 and 513,005 is: 1,097,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,895 : 513,005 = 513,005 : x
  2. Step 2: Convert to fraction form
    239,895/513,005 = 513,005/x
  3. Step 3: Cross multiply
    239,895x = 513,005 × 513,005
  4. Step 4: Simplify right side
    239,895x = 263,174,130,025
  5. Step 5: Solve for x
    x = 263,174,130,025/239,895
  6. Step 6: Final answer
    x = 1,097,038.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.