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Finding the Third Proportional to 210,468 and 315,942

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Solution

The third proportional to 210,468 and 315,942 is: 474,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,468 : 315,942 = 315,942 : x
  2. Step 2: Convert to fraction form
    210,468/315,942 = 315,942/x
  3. Step 3: Cross multiply
    210,468x = 315,942 × 315,942
  4. Step 4: Simplify right side
    210,468x = 99,819,347,364
  5. Step 5: Solve for x
    x = 99,819,347,364/210,468
  6. Step 6: Final answer
    x = 474,273.27

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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.