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Finding the Third Proportional to 307,943 and 489,039

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Solution

The third proportional to 307,943 and 489,039 is: 776,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,943 : 489,039 = 489,039 : x
  2. Step 2: Convert to fraction form
    307,943/489,039 = 489,039/x
  3. Step 3: Cross multiply
    307,943x = 489,039 × 489,039
  4. Step 4: Simplify right side
    307,943x = 239,159,143,521
  5. Step 5: Solve for x
    x = 239,159,143,521/307,943
  6. Step 6: Final answer
    x = 776,634.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.