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Finding the Third Proportional to 512,807 and 1,122,130

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Solution

The third proportional to 512,807 and 1,122,130 is: 2,455,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,807 : 1,122,130 = 1,122,130 : x
  2. Step 2: Convert to fraction form
    512,807/1,122,130 = 1,122,130/x
  3. Step 3: Cross multiply
    512,807x = 1,122,130 × 1,122,130
  4. Step 4: Simplify right side
    512,807x = 1,259,175,736,900
  5. Step 5: Solve for x
    x = 1,259,175,736,900/512,807
  6. Step 6: Final answer
    x = 2,455,457.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.