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Finding the Third Proportional to 377,016 and 780,276

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Solution

The third proportional to 377,016 and 780,276 is: 1,614,866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,016 : 780,276 = 780,276 : x
  2. Step 2: Convert to fraction form
    377,016/780,276 = 780,276/x
  3. Step 3: Cross multiply
    377,016x = 780,276 × 780,276
  4. Step 4: Simplify right side
    377,016x = 608,830,636,176
  5. Step 5: Solve for x
    x = 608,830,636,176/377,016
  6. Step 6: Final answer
    x = 1,614,866.84

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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.