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Finding the Third Proportional to 315,852 and 690,750

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Solution

The third proportional to 315,852 and 690,750 is: 1,510,630.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,852 : 690,750 = 690,750 : x
  2. Step 2: Convert to fraction form
    315,852/690,750 = 690,750/x
  3. Step 3: Cross multiply
    315,852x = 690,750 × 690,750
  4. Step 4: Simplify right side
    315,852x = 477,135,562,500
  5. Step 5: Solve for x
    x = 477,135,562,500/315,852
  6. Step 6: Final answer
    x = 1,510,630.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.