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Finding the Third Proportional to 517,228.50 and 807,284.25

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Solution

The third proportional to 517,228.50 and 807,284.25 is: 1,259,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,228.50 : 807,284.25 = 807,284.25 : x
  2. Step 2: Convert to fraction form
    517,228.50/807,284.25 = 807,284.25/x
  3. Step 3: Cross multiply
    517,228.50x = 807,284.25 × 807,284.25
  4. Step 4: Simplify right side
    517,228.50x = 651,707,860,298.06
  5. Step 5: Solve for x
    x = 651,707,860,298.06/517,228.50
  6. Step 6: Final answer
    x = 1,259,999.90

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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.