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Finding the Third Proportional to 142,627 and 305,495

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Solution

The third proportional to 142,627 and 305,495 is: 654,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,627 : 305,495 = 305,495 : x
  2. Step 2: Convert to fraction form
    142,627/305,495 = 305,495/x
  3. Step 3: Cross multiply
    142,627x = 305,495 × 305,495
  4. Step 4: Simplify right side
    142,627x = 93,327,195,025
  5. Step 5: Solve for x
    x = 93,327,195,025/142,627
  6. Step 6: Final answer
    x = 654,344.51

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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.