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Finding the Third Proportional to 555,633 and 856,538

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Solution

The third proportional to 555,633 and 856,538 is: 1,320,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,633 : 856,538 = 856,538 : x
  2. Step 2: Convert to fraction form
    555,633/856,538 = 856,538/x
  3. Step 3: Cross multiply
    555,633x = 856,538 × 856,538
  4. Step 4: Simplify right side
    555,633x = 733,657,345,444
  5. Step 5: Solve for x
    x = 733,657,345,444/555,633
  6. Step 6: Final answer
    x = 1,320,399.16

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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.