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Finding the Third Proportional to 664,937 and 1,377,172

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Solution

The third proportional to 664,937 and 1,377,172 is: 2,852,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,937 : 1,377,172 = 1,377,172 : x
  2. Step 2: Convert to fraction form
    664,937/1,377,172 = 1,377,172/x
  3. Step 3: Cross multiply
    664,937x = 1,377,172 × 1,377,172
  4. Step 4: Simplify right side
    664,937x = 1,896,602,717,584
  5. Step 5: Solve for x
    x = 1,896,602,717,584/664,937
  6. Step 6: Final answer
    x = 2,852,304.38

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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.