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Finding the Third Proportional to 312,125 and 483,015

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Solution

The third proportional to 312,125 and 483,015 is: 747,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,125 : 483,015 = 483,015 : x
  2. Step 2: Convert to fraction form
    312,125/483,015 = 483,015/x
  3. Step 3: Cross multiply
    312,125x = 483,015 × 483,015
  4. Step 4: Simplify right side
    312,125x = 233,303,490,225
  5. Step 5: Solve for x
    x = 233,303,490,225/312,125
  6. Step 6: Final answer
    x = 747,468.13

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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.