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Finding the Third Proportional to 554,658 and 856,441

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Solution

The third proportional to 554,658 and 856,441 is: 1,322,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,658 : 856,441 = 856,441 : x
  2. Step 2: Convert to fraction form
    554,658/856,441 = 856,441/x
  3. Step 3: Cross multiply
    554,658x = 856,441 × 856,441
  4. Step 4: Simplify right side
    554,658x = 733,491,186,481
  5. Step 5: Solve for x
    x = 733,491,186,481/554,658
  6. Step 6: Final answer
    x = 1,322,420.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.