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Finding the Third Proportional to 310,967.70 and 665,165.36

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Solution

The third proportional to 310,967.70 and 665,165.36 is: 1,422,800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,967.70 : 665,165.36 = 665,165.36 : x
  2. Step 2: Convert to fraction form
    310,967.70/665,165.36 = 665,165.36/x
  3. Step 3: Cross multiply
    310,967.70x = 665,165.36 × 665,165.36
  4. Step 4: Simplify right side
    310,967.70x = 442,444,950,115.87
  5. Step 5: Solve for x
    x = 442,444,950,115.87/310,967.70
  6. Step 6: Final answer
    x = 1,422,800.34

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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.