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Finding the Third Proportional to 210,312 and 315,144

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Solution

The third proportional to 210,312 and 315,144 is: 472,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,312 : 315,144 = 315,144 : x
  2. Step 2: Convert to fraction form
    210,312/315,144 = 315,144/x
  3. Step 3: Cross multiply
    210,312x = 315,144 × 315,144
  4. Step 4: Simplify right side
    210,312x = 99,315,740,736
  5. Step 5: Solve for x
    x = 99,315,740,736/210,312
  6. Step 6: Final answer
    x = 472,230.50

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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.