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Finding the Third Proportional to 133,101 and 287,307

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Solution

The third proportional to 133,101 and 287,307 is: 620,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,101 : 287,307 = 287,307 : x
  2. Step 2: Convert to fraction form
    133,101/287,307 = 287,307/x
  3. Step 3: Cross multiply
    133,101x = 287,307 × 287,307
  4. Step 4: Simplify right side
    133,101x = 82,545,312,249
  5. Step 5: Solve for x
    x = 82,545,312,249/133,101
  6. Step 6: Final answer
    x = 620,170.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.