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Finding the Third Proportional to 239,040 and 351,648

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Solution

The third proportional to 239,040 and 351,648 is: 517,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,040 : 351,648 = 351,648 : x
  2. Step 2: Convert to fraction form
    239,040/351,648 = 351,648/x
  3. Step 3: Cross multiply
    239,040x = 351,648 × 351,648
  4. Step 4: Simplify right side
    239,040x = 123,656,315,904
  5. Step 5: Solve for x
    x = 123,656,315,904/239,040
  6. Step 6: Final answer
    x = 517,303.87

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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.