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Finding the Third Proportional to 131,378 and 287,294

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Solution

The third proportional to 131,378 and 287,294 is: 628,247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,378 : 287,294 = 287,294 : x
  2. Step 2: Convert to fraction form
    131,378/287,294 = 287,294/x
  3. Step 3: Cross multiply
    131,378x = 287,294 × 287,294
  4. Step 4: Simplify right side
    131,378x = 82,537,842,436
  5. Step 5: Solve for x
    x = 82,537,842,436/131,378
  6. Step 6: Final answer
    x = 628,247.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.