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Finding the Third Proportional to 156,574.69 and 343,073.81

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Solution

The third proportional to 156,574.69 and 343,073.81 is: 751,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,574.69 : 343,073.81 = 343,073.81 : x
  2. Step 2: Convert to fraction form
    156,574.69/343,073.81 = 343,073.81/x
  3. Step 3: Cross multiply
    156,574.69x = 343,073.81 × 343,073.81
  4. Step 4: Simplify right side
    156,574.69x = 117,699,640,823.29
  5. Step 5: Solve for x
    x = 117,699,640,823.29/156,574.69
  6. Step 6: Final answer
    x = 751,715.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.