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Finding the Third Proportional to 305,426 and 665,063

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Solution

The third proportional to 305,426 and 665,063 is: 1,448,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,426 : 665,063 = 665,063 : x
  2. Step 2: Convert to fraction form
    305,426/665,063 = 665,063/x
  3. Step 3: Cross multiply
    305,426x = 665,063 × 665,063
  4. Step 4: Simplify right side
    305,426x = 442,308,793,969
  5. Step 5: Solve for x
    x = 442,308,793,969/305,426
  6. Step 6: Final answer
    x = 1,448,170.08

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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.