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Finding the Third Proportional to 499,477.50 and 782,698.50

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Solution

The third proportional to 499,477.50 and 782,698.50 is: 1,226,515.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,477.50 : 782,698.50 = 782,698.50 : x
  2. Step 2: Convert to fraction form
    499,477.50/782,698.50 = 782,698.50/x
  3. Step 3: Cross multiply
    499,477.50x = 782,698.50 × 782,698.50
  4. Step 4: Simplify right side
    499,477.50x = 612,616,941,902.25
  5. Step 5: Solve for x
    x = 612,616,941,902.25/499,477.50
  6. Step 6: Final answer
    x = 1,226,515.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.