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Finding the Third Proportional to 142,536 and 214,748

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Solution

The third proportional to 142,536 and 214,748 is: 323,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,536 : 214,748 = 214,748 : x
  2. Step 2: Convert to fraction form
    142,536/214,748 = 214,748/x
  3. Step 3: Cross multiply
    142,536x = 214,748 × 214,748
  4. Step 4: Simplify right side
    142,536x = 46,116,703,504
  5. Step 5: Solve for x
    x = 46,116,703,504/142,536
  6. Step 6: Final answer
    x = 323,544.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.