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Finding the Third Proportional to 301,464 and 415,287

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Solution

The third proportional to 301,464 and 415,287 is: 572,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,464 : 415,287 = 415,287 : x
  2. Step 2: Convert to fraction form
    301,464/415,287 = 415,287/x
  3. Step 3: Cross multiply
    301,464x = 415,287 × 415,287
  4. Step 4: Simplify right side
    301,464x = 172,463,292,369
  5. Step 5: Solve for x
    x = 172,463,292,369/301,464
  6. Step 6: Final answer
    x = 572,085.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.