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Finding the Third Proportional to 491,983 and 737,980.50

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Solution

The third proportional to 491,983 and 737,980.50 is: 1,106,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,983 : 737,980.50 = 737,980.50 : x
  2. Step 2: Convert to fraction form
    491,983/737,980.50 = 737,980.50/x
  3. Step 3: Cross multiply
    491,983x = 737,980.50 × 737,980.50
  4. Step 4: Simplify right side
    491,983x = 544,615,218,380.25
  5. Step 5: Solve for x
    x = 544,615,218,380.25/491,983
  6. Step 6: Final answer
    x = 1,106,979.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.