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Finding the Third Proportional to 134,994 and 312,513

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Solution

The third proportional to 134,994 and 312,513 is: 723,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,994 : 312,513 = 312,513 : x
  2. Step 2: Convert to fraction form
    134,994/312,513 = 312,513/x
  3. Step 3: Cross multiply
    134,994x = 312,513 × 312,513
  4. Step 4: Simplify right side
    134,994x = 97,664,375,169
  5. Step 5: Solve for x
    x = 97,664,375,169/134,994
  6. Step 6: Final answer
    x = 723,471.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.