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Finding the Third Proportional to 312,142 and 467,358

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Solution

The third proportional to 312,142 and 467,358 is: 699,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,142 : 467,358 = 467,358 : x
  2. Step 2: Convert to fraction form
    312,142/467,358 = 467,358/x
  3. Step 3: Cross multiply
    312,142x = 467,358 × 467,358
  4. Step 4: Simplify right side
    312,142x = 218,423,500,164
  5. Step 5: Solve for x
    x = 218,423,500,164/312,142
  6. Step 6: Final answer
    x = 699,756.84

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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.