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Finding the Third Proportional to 212,658 and 288,936

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Solution

The third proportional to 212,658 and 288,936 is: 392,574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,658 : 288,936 = 288,936 : x
  2. Step 2: Convert to fraction form
    212,658/288,936 = 288,936/x
  3. Step 3: Cross multiply
    212,658x = 288,936 × 288,936
  4. Step 4: Simplify right side
    212,658x = 83,484,012,096
  5. Step 5: Solve for x
    x = 83,484,012,096/212,658
  6. Step 6: Final answer
    x = 392,574.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.