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Finding the Third Proportional to 310,985.25 and 476,307

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Solution

The third proportional to 310,985.25 and 476,307 is: 729,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,985.25 : 476,307 = 476,307 : x
  2. Step 2: Convert to fraction form
    310,985.25/476,307 = 476,307/x
  3. Step 3: Cross multiply
    310,985.25x = 476,307 × 476,307
  4. Step 4: Simplify right side
    310,985.25x = 226,868,358,249
  5. Step 5: Solve for x
    x = 226,868,358,249/310,985.25
  6. Step 6: Final answer
    x = 729,514.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.