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Finding the Third Proportional to 159,069 and 346,128

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Solution

The third proportional to 159,069 and 346,128 is: 753,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,069 : 346,128 = 346,128 : x
  2. Step 2: Convert to fraction form
    159,069/346,128 = 346,128/x
  3. Step 3: Cross multiply
    159,069x = 346,128 × 346,128
  4. Step 4: Simplify right side
    159,069x = 119,804,592,384
  5. Step 5: Solve for x
    x = 119,804,592,384/159,069
  6. Step 6: Final answer
    x = 753,161.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.