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Finding the Third Proportional to 147,803 and 323,211

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Solution

The third proportional to 147,803 and 323,211 is: 706,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,803 : 323,211 = 323,211 : x
  2. Step 2: Convert to fraction form
    147,803/323,211 = 323,211/x
  3. Step 3: Cross multiply
    147,803x = 323,211 × 323,211
  4. Step 4: Simplify right side
    147,803x = 104,465,350,521
  5. Step 5: Solve for x
    x = 104,465,350,521/147,803
  6. Step 6: Final answer
    x = 706,787.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.