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Finding the Third Proportional to 556,977 and 1,218,281

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Solution

The third proportional to 556,977 and 1,218,281 is: 2,664,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,977 : 1,218,281 = 1,218,281 : x
  2. Step 2: Convert to fraction form
    556,977/1,218,281 = 1,218,281/x
  3. Step 3: Cross multiply
    556,977x = 1,218,281 × 1,218,281
  4. Step 4: Simplify right side
    556,977x = 1,484,208,594,961
  5. Step 5: Solve for x
    x = 1,484,208,594,961/556,977
  6. Step 6: Final answer
    x = 2,664,757.42

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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.