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Finding the Third Proportional to 542,903 and 845,379

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Solution

The third proportional to 542,903 and 845,379 is: 1,316,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,903 : 845,379 = 845,379 : x
  2. Step 2: Convert to fraction form
    542,903/845,379 = 845,379/x
  3. Step 3: Cross multiply
    542,903x = 845,379 × 845,379
  4. Step 4: Simplify right side
    542,903x = 714,665,653,641
  5. Step 5: Solve for x
    x = 714,665,653,641/542,903
  6. Step 6: Final answer
    x = 1,316,378.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.