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Finding the Third Proportional to 142,250 and 310,742

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Solution

The third proportional to 142,250 and 310,742 is: 678,809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,250 : 310,742 = 310,742 : x
  2. Step 2: Convert to fraction form
    142,250/310,742 = 310,742/x
  3. Step 3: Cross multiply
    142,250x = 310,742 × 310,742
  4. Step 4: Simplify right side
    142,250x = 96,560,590,564
  5. Step 5: Solve for x
    x = 96,560,590,564/142,250
  6. Step 6: Final answer
    x = 678,809.07

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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.