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Finding the Third Proportional to 504.67 and 810.32

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Solution

The third proportional to 504.67 and 810.32 is: 1,301.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.67 : 810.32 = 810.32 : x
  2. Step 2: Convert to fraction form
    504.67/810.32 = 810.32/x
  3. Step 3: Cross multiply
    504.67x = 810.32 × 810.32
  4. Step 4: Simplify right side
    504.67x = 656,612.68
  5. Step 5: Solve for x
    x = 656,612.68/504.67
  6. Step 6: Final answer
    x = 1,301.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.