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Finding the Third Proportional to 210,144 and 315,433

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Solution

The third proportional to 210,144 and 315,433 is: 473,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,144 : 315,433 = 315,433 : x
  2. Step 2: Convert to fraction form
    210,144/315,433 = 315,433/x
  3. Step 3: Cross multiply
    210,144x = 315,433 × 315,433
  4. Step 4: Simplify right side
    210,144x = 99,497,977,489
  5. Step 5: Solve for x
    x = 99,497,977,489/210,144
  6. Step 6: Final answer
    x = 473,475.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.