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Finding the Third Proportional to 505.93 and 785.00

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Solution

The third proportional to 505.93 and 785.00 is: 1,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.93 : 785.00 = 785.00 : x
  2. Step 2: Convert to fraction form
    505.93/785.00 = 785.00/x
  3. Step 3: Cross multiply
    505.93x = 785.00 × 785.00
  4. Step 4: Simplify right side
    505.93x = 616,231.13
  5. Step 5: Solve for x
    x = 616,231.13/505.93
  6. Step 6: Final answer
    x = 1,218.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.