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Finding the Third Proportional to 305,430 and 665,071

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Solution

The third proportional to 305,430 and 665,071 is: 1,448,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,430 : 665,071 = 665,071 : x
  2. Step 2: Convert to fraction form
    305,430/665,071 = 665,071/x
  3. Step 3: Cross multiply
    305,430x = 665,071 × 665,071
  4. Step 4: Simplify right side
    305,430x = 442,319,435,041
  5. Step 5: Solve for x
    x = 442,319,435,041/305,430
  6. Step 6: Final answer
    x = 1,448,185.95

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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.