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Finding the Third Proportional to 142,896 and 310,422

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Solution

The third proportional to 142,896 and 310,422 is: 674,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,896 : 310,422 = 310,422 : x
  2. Step 2: Convert to fraction form
    142,896/310,422 = 310,422/x
  3. Step 3: Cross multiply
    142,896x = 310,422 × 310,422
  4. Step 4: Simplify right side
    142,896x = 96,361,818,084
  5. Step 5: Solve for x
    x = 96,361,818,084/142,896
  6. Step 6: Final answer
    x = 674,349.30

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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.