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Finding the Third Proportional to 201,830 and 312,513

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Solution

The third proportional to 201,830 and 312,513 is: 483,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,830 : 312,513 = 312,513 : x
  2. Step 2: Convert to fraction form
    201,830/312,513 = 312,513/x
  3. Step 3: Cross multiply
    201,830x = 312,513 × 312,513
  4. Step 4: Simplify right side
    201,830x = 97,664,375,169
  5. Step 5: Solve for x
    x = 97,664,375,169/201,830
  6. Step 6: Final answer
    x = 483,894.24

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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.