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Finding the Third Proportional to 553,678 and 617,830

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Solution

The third proportional to 553,678 and 617,830 is: 689,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,678 : 617,830 = 617,830 : x
  2. Step 2: Convert to fraction form
    553,678/617,830 = 617,830/x
  3. Step 3: Cross multiply
    553,678x = 617,830 × 617,830
  4. Step 4: Simplify right side
    553,678x = 381,713,908,900
  5. Step 5: Solve for x
    x = 381,713,908,900/553,678
  6. Step 6: Final answer
    x = 689,414.98

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.