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Finding the Third Proportional to 305,130.38 and 664,506

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Solution

The third proportional to 305,130.38 and 664,506 is: 1,447,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,130.38 : 664,506 = 664,506 : x
  2. Step 2: Convert to fraction form
    305,130.38/664,506 = 664,506/x
  3. Step 3: Cross multiply
    305,130.38x = 664,506 × 664,506
  4. Step 4: Simplify right side
    305,130.38x = 441,568,224,036
  5. Step 5: Solve for x
    x = 441,568,224,036/305,130.38
  6. Step 6: Final answer
    x = 1,447,146.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.