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Finding the Third Proportional to 156,964 and 340,031

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Solution

The third proportional to 156,964 and 340,031 is: 736,608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,964 : 340,031 = 340,031 : x
  2. Step 2: Convert to fraction form
    156,964/340,031 = 340,031/x
  3. Step 3: Cross multiply
    156,964x = 340,031 × 340,031
  4. Step 4: Simplify right side
    156,964x = 115,621,080,961
  5. Step 5: Solve for x
    x = 115,621,080,961/156,964
  6. Step 6: Final answer
    x = 736,608.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.