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Finding the Third Proportional to 312,140 and 467,355

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Solution

The third proportional to 312,140 and 467,355 is: 699,752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,140 : 467,355 = 467,355 : x
  2. Step 2: Convert to fraction form
    312,140/467,355 = 467,355/x
  3. Step 3: Cross multiply
    312,140x = 467,355 × 467,355
  4. Step 4: Simplify right side
    312,140x = 218,420,696,025
  5. Step 5: Solve for x
    x = 218,420,696,025/312,140
  6. Step 6: Final answer
    x = 699,752.34

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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.