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Finding the Third Proportional to 142,275 and 302,073

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Solution

The third proportional to 142,275 and 302,073 is: 641,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,275 : 302,073 = 302,073 : x
  2. Step 2: Convert to fraction form
    142,275/302,073 = 302,073/x
  3. Step 3: Cross multiply
    142,275x = 302,073 × 302,073
  4. Step 4: Simplify right side
    142,275x = 91,248,097,329
  5. Step 5: Solve for x
    x = 91,248,097,329/142,275
  6. Step 6: Final answer
    x = 641,350.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.