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Finding the Third Proportional to 202,420 and 302,514

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Solution

The third proportional to 202,420 and 302,514 is: 452,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,420 : 302,514 = 302,514 : x
  2. Step 2: Convert to fraction form
    202,420/302,514 = 302,514/x
  3. Step 3: Cross multiply
    202,420x = 302,514 × 302,514
  4. Step 4: Simplify right side
    202,420x = 91,514,720,196
  5. Step 5: Solve for x
    x = 91,514,720,196/202,420
  6. Step 6: Final answer
    x = 452,103.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.