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Finding the Third Proportional to 142,434 and 312,042

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Solution

The third proportional to 142,434 and 312,042 is: 683,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,434 : 312,042 = 312,042 : x
  2. Step 2: Convert to fraction form
    142,434/312,042 = 312,042/x
  3. Step 3: Cross multiply
    142,434x = 312,042 × 312,042
  4. Step 4: Simplify right side
    142,434x = 97,370,209,764
  5. Step 5: Solve for x
    x = 97,370,209,764/142,434
  6. Step 6: Final answer
    x = 683,616.34

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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.