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Finding the Third Proportional to 507,420 and 1,115,284

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Solution

The third proportional to 507,420 and 1,115,284 is: 2,451,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,420 : 1,115,284 = 1,115,284 : x
  2. Step 2: Convert to fraction form
    507,420/1,115,284 = 1,115,284/x
  3. Step 3: Cross multiply
    507,420x = 1,115,284 × 1,115,284
  4. Step 4: Simplify right side
    507,420x = 1,243,858,400,656
  5. Step 5: Solve for x
    x = 1,243,858,400,656/507,420
  6. Step 6: Final answer
    x = 2,451,338.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.