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Finding the Third Proportional to 377,068 and 780,392

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Solution

The third proportional to 377,068 and 780,392 is: 1,615,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,068 : 780,392 = 780,392 : x
  2. Step 2: Convert to fraction form
    377,068/780,392 = 780,392/x
  3. Step 3: Cross multiply
    377,068x = 780,392 × 780,392
  4. Step 4: Simplify right side
    377,068x = 609,011,673,664
  5. Step 5: Solve for x
    x = 609,011,673,664/377,068
  6. Step 6: Final answer
    x = 1,615,124.26

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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.