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Finding the Third Proportional to 509,058 and 748,005

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Solution

The third proportional to 509,058 and 748,005 is: 1,099,111.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,058 : 748,005 = 748,005 : x
  2. Step 2: Convert to fraction form
    509,058/748,005 = 748,005/x
  3. Step 3: Cross multiply
    509,058x = 748,005 × 748,005
  4. Step 4: Simplify right side
    509,058x = 559,511,480,025
  5. Step 5: Solve for x
    x = 559,511,480,025/509,058
  6. Step 6: Final answer
    x = 1,099,111.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.