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Finding the Third Proportional to 97,431 and 210,405

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Solution

The third proportional to 97,431 and 210,405 is: 454,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,431 : 210,405 = 210,405 : x
  2. Step 2: Convert to fraction form
    97,431/210,405 = 210,405/x
  3. Step 3: Cross multiply
    97,431x = 210,405 × 210,405
  4. Step 4: Simplify right side
    97,431x = 44,270,264,025
  5. Step 5: Solve for x
    x = 44,270,264,025/97,431
  6. Step 6: Final answer
    x = 454,375.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.