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Finding the Third Proportional to 553,302 and 878,337

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Solution

The third proportional to 553,302 and 878,337 is: 1,394,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,302 : 878,337 = 878,337 : x
  2. Step 2: Convert to fraction form
    553,302/878,337 = 878,337/x
  3. Step 3: Cross multiply
    553,302x = 878,337 × 878,337
  4. Step 4: Simplify right side
    553,302x = 771,475,885,569
  5. Step 5: Solve for x
    x = 771,475,885,569/553,302
  6. Step 6: Final answer
    x = 1,394,312.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.