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Finding the Third Proportional to 305,405 and 657,633

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Solution

The third proportional to 305,405 and 657,633 is: 1,416,090.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,405 : 657,633 = 657,633 : x
  2. Step 2: Convert to fraction form
    305,405/657,633 = 657,633/x
  3. Step 3: Cross multiply
    305,405x = 657,633 × 657,633
  4. Step 4: Simplify right side
    305,405x = 432,481,162,689
  5. Step 5: Solve for x
    x = 432,481,162,689/305,405
  6. Step 6: Final answer
    x = 1,416,090.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.