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Finding the Third Proportional to 311,835 and 660,750

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Solution

The third proportional to 311,835 and 660,750 is: 1,400,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,835 : 660,750 = 660,750 : x
  2. Step 2: Convert to fraction form
    311,835/660,750 = 660,750/x
  3. Step 3: Cross multiply
    311,835x = 660,750 × 660,750
  4. Step 4: Simplify right side
    311,835x = 436,590,562,500
  5. Step 5: Solve for x
    x = 436,590,562,500/311,835
  6. Step 6: Final answer
    x = 1,400,069.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.