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Finding the Third Proportional to 164,709 and 343,716

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Solution

The third proportional to 164,709 and 343,716 is: 717,269.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,709 : 343,716 = 343,716 : x
  2. Step 2: Convert to fraction form
    164,709/343,716 = 343,716/x
  3. Step 3: Cross multiply
    164,709x = 343,716 × 343,716
  4. Step 4: Simplify right side
    164,709x = 118,140,688,656
  5. Step 5: Solve for x
    x = 118,140,688,656/164,709
  6. Step 6: Final answer
    x = 717,269.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.