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Finding the Third Proportional to 553,653 and 830,481

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Solution

The third proportional to 553,653 and 830,481 is: 1,245,723.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,653 : 830,481 = 830,481 : x
  2. Step 2: Convert to fraction form
    553,653/830,481 = 830,481/x
  3. Step 3: Cross multiply
    553,653x = 830,481 × 830,481
  4. Step 4: Simplify right side
    553,653x = 689,698,691,361
  5. Step 5: Solve for x
    x = 689,698,691,361/553,653
  6. Step 6: Final answer
    x = 1,245,723.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.