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Finding the Third Proportional to 305,960 and 671,020

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Solution

The third proportional to 305,960 and 671,020 is: 1,471,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,960 : 671,020 = 671,020 : x
  2. Step 2: Convert to fraction form
    305,960/671,020 = 671,020/x
  3. Step 3: Cross multiply
    305,960x = 671,020 × 671,020
  4. Step 4: Simplify right side
    305,960x = 450,267,840,400
  5. Step 5: Solve for x
    x = 450,267,840,400/305,960
  6. Step 6: Final answer
    x = 1,471,655.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.