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Finding the Third Proportional to 542,000 and 805,143

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Solution

The third proportional to 542,000 and 805,143 is: 1,196,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,000 : 805,143 = 805,143 : x
  2. Step 2: Convert to fraction form
    542,000/805,143 = 805,143/x
  3. Step 3: Cross multiply
    542,000x = 805,143 × 805,143
  4. Step 4: Simplify right side
    542,000x = 648,255,250,449
  5. Step 5: Solve for x
    x = 648,255,250,449/542,000
  6. Step 6: Final answer
    x = 1,196,042.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.