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Finding the Third Proportional to 302,940 and 475,257

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Solution

The third proportional to 302,940 and 475,257 is: 745,590.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,940 : 475,257 = 475,257 : x
  2. Step 2: Convert to fraction form
    302,940/475,257 = 475,257/x
  3. Step 3: Cross multiply
    302,940x = 475,257 × 475,257
  4. Step 4: Simplify right side
    302,940x = 225,869,216,049
  5. Step 5: Solve for x
    x = 225,869,216,049/302,940
  6. Step 6: Final answer
    x = 745,590.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.