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Finding the Third Proportional to 498,118.50 and 778,281.75

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Solution

The third proportional to 498,118.50 and 778,281.75 is: 1,216,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,118.50 : 778,281.75 = 778,281.75 : x
  2. Step 2: Convert to fraction form
    498,118.50/778,281.75 = 778,281.75/x
  3. Step 3: Cross multiply
    498,118.50x = 778,281.75 × 778,281.75
  4. Step 4: Simplify right side
    498,118.50x = 605,722,482,383.06
  5. Step 5: Solve for x
    x = 605,722,482,383.06/498,118.50
  6. Step 6: Final answer
    x = 1,216,020.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.