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Finding the Third Proportional to 142,836 and 310,248

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Solution

The third proportional to 142,836 and 310,248 is: 673,876.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,836 : 310,248 = 310,248 : x
  2. Step 2: Convert to fraction form
    142,836/310,248 = 310,248/x
  3. Step 3: Cross multiply
    142,836x = 310,248 × 310,248
  4. Step 4: Simplify right side
    142,836x = 96,253,821,504
  5. Step 5: Solve for x
    x = 96,253,821,504/142,836
  6. Step 6: Final answer
    x = 673,876.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.