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Finding the Third Proportional to 142,768 and 310,960

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Solution

The third proportional to 142,768 and 310,960 is: 677,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,768 : 310,960 = 310,960 : x
  2. Step 2: Convert to fraction form
    142,768/310,960 = 310,960/x
  3. Step 3: Cross multiply
    142,768x = 310,960 × 310,960
  4. Step 4: Simplify right side
    142,768x = 96,696,121,600
  5. Step 5: Solve for x
    x = 96,696,121,600/142,768
  6. Step 6: Final answer
    x = 677,295.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.