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Finding the Third Proportional to 156,733 and 339,710

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Solution

The third proportional to 156,733 and 339,710 is: 736,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,733 : 339,710 = 339,710 : x
  2. Step 2: Convert to fraction form
    156,733/339,710 = 339,710/x
  3. Step 3: Cross multiply
    156,733x = 339,710 × 339,710
  4. Step 4: Simplify right side
    156,733x = 115,402,884,100
  5. Step 5: Solve for x
    x = 115,402,884,100/156,733
  6. Step 6: Final answer
    x = 736,302.40

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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.