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Finding the Third Proportional to 520,856 and 1,115,440

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Solution

The third proportional to 520,856 and 1,115,440 is: 2,388,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,856 : 1,115,440 = 1,115,440 : x
  2. Step 2: Convert to fraction form
    520,856/1,115,440 = 1,115,440/x
  3. Step 3: Cross multiply
    520,856x = 1,115,440 × 1,115,440
  4. Step 4: Simplify right side
    520,856x = 1,244,206,393,600
  5. Step 5: Solve for x
    x = 1,244,206,393,600/520,856
  6. Step 6: Final answer
    x = 2,388,772.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.