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Finding the Third Proportional to 312,612 and 483,768

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Solution

The third proportional to 312,612 and 483,768 is: 748,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,612 : 483,768 = 483,768 : x
  2. Step 2: Convert to fraction form
    312,612/483,768 = 483,768/x
  3. Step 3: Cross multiply
    312,612x = 483,768 × 483,768
  4. Step 4: Simplify right side
    312,612x = 234,031,477,824
  5. Step 5: Solve for x
    x = 234,031,477,824/312,612
  6. Step 6: Final answer
    x = 748,632.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.