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Finding the Third Proportional to 377,018 and 780,278

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Solution

The third proportional to 377,018 and 780,278 is: 1,614,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,018 : 780,278 = 780,278 : x
  2. Step 2: Convert to fraction form
    377,018/780,278 = 780,278/x
  3. Step 3: Cross multiply
    377,018x = 780,278 × 780,278
  4. Step 4: Simplify right side
    377,018x = 608,833,757,284
  5. Step 5: Solve for x
    x = 608,833,757,284/377,018
  6. Step 6: Final answer
    x = 1,614,866.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.