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Finding the Third Proportional to 546,857 and 856,127

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Solution

The third proportional to 546,857 and 856,127 is: 1,340,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,857 : 856,127 = 856,127 : x
  2. Step 2: Convert to fraction form
    546,857/856,127 = 856,127/x
  3. Step 3: Cross multiply
    546,857x = 856,127 × 856,127
  4. Step 4: Simplify right side
    546,857x = 732,953,440,129
  5. Step 5: Solve for x
    x = 732,953,440,129/546,857
  6. Step 6: Final answer
    x = 1,340,301.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.