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Finding the Third Proportional to 516,780 and 1,108,278

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Solution

The third proportional to 516,780 and 1,108,278 is: 2,376,795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,780 : 1,108,278 = 1,108,278 : x
  2. Step 2: Convert to fraction form
    516,780/1,108,278 = 1,108,278/x
  3. Step 3: Cross multiply
    516,780x = 1,108,278 × 1,108,278
  4. Step 4: Simplify right side
    516,780x = 1,228,280,125,284
  5. Step 5: Solve for x
    x = 1,228,280,125,284/516,780
  6. Step 6: Final answer
    x = 2,376,795.01

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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.