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Finding the Third Proportional to 143,323 and 306,733

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Solution

The third proportional to 143,323 and 306,733 is: 656,455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,323 : 306,733 = 306,733 : x
  2. Step 2: Convert to fraction form
    143,323/306,733 = 306,733/x
  3. Step 3: Cross multiply
    143,323x = 306,733 × 306,733
  4. Step 4: Simplify right side
    143,323x = 94,085,133,289
  5. Step 5: Solve for x
    x = 94,085,133,289/143,323
  6. Step 6: Final answer
    x = 656,455.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.