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Finding the Third Proportional to 499.61 and 782.00

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Solution

The third proportional to 499.61 and 782.00 is: 1,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.61 : 782.00 = 782.00 : x
  2. Step 2: Convert to fraction form
    499.61/782.00 = 782.00/x
  3. Step 3: Cross multiply
    499.61x = 782.00 × 782.00
  4. Step 4: Simplify right side
    499.61x = 611,520.95
  5. Step 5: Solve for x
    x = 611,520.95/499.61
  6. Step 6: Final answer
    x = 1,224.01

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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.