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Finding the Third Proportional to 355,472 and 779,828

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Solution

The third proportional to 355,472 and 779,828 is: 1,710,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,472 : 779,828 = 779,828 : x
  2. Step 2: Convert to fraction form
    355,472/779,828 = 779,828/x
  3. Step 3: Cross multiply
    355,472x = 779,828 × 779,828
  4. Step 4: Simplify right side
    355,472x = 608,131,709,584
  5. Step 5: Solve for x
    x = 608,131,709,584/355,472
  6. Step 6: Final answer
    x = 1,710,772.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.