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Finding the Third Proportional to 212,070 and 327,946

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Solution

The third proportional to 212,070 and 327,946 is: 507,137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,070 : 327,946 = 327,946 : x
  2. Step 2: Convert to fraction form
    212,070/327,946 = 327,946/x
  3. Step 3: Cross multiply
    212,070x = 327,946 × 327,946
  4. Step 4: Simplify right side
    212,070x = 107,548,578,916
  5. Step 5: Solve for x
    x = 107,548,578,916/212,070
  6. Step 6: Final answer
    x = 507,137.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.