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Finding the Third Proportional to 142,276 and 302,074

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Solution

The third proportional to 142,276 and 302,074 is: 641,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,276 : 302,074 = 302,074 : x
  2. Step 2: Convert to fraction form
    142,276/302,074 = 302,074/x
  3. Step 3: Cross multiply
    142,276x = 302,074 × 302,074
  4. Step 4: Simplify right side
    142,276x = 91,248,701,476
  5. Step 5: Solve for x
    x = 91,248,701,476/142,276
  6. Step 6: Final answer
    x = 641,349.92

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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.