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Finding the Third Proportional to 310,634 and 490,979

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Solution

The third proportional to 310,634 and 490,979 is: 776,027.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,634 : 490,979 = 490,979 : x
  2. Step 2: Convert to fraction form
    310,634/490,979 = 490,979/x
  3. Step 3: Cross multiply
    310,634x = 490,979 × 490,979
  4. Step 4: Simplify right side
    310,634x = 241,060,378,441
  5. Step 5: Solve for x
    x = 241,060,378,441/310,634
  6. Step 6: Final answer
    x = 776,027.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.