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Finding the Third Proportional to 310,614 and 665,520

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Solution

The third proportional to 310,614 and 665,520 is: 1,425,939.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,614 : 665,520 = 665,520 : x
  2. Step 2: Convert to fraction form
    310,614/665,520 = 665,520/x
  3. Step 3: Cross multiply
    310,614x = 665,520 × 665,520
  4. Step 4: Simplify right side
    310,614x = 442,916,870,400
  5. Step 5: Solve for x
    x = 442,916,870,400/310,614
  6. Step 6: Final answer
    x = 1,425,939.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.