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Finding the Third Proportional to 155,512.50 and 287,664

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Solution

The third proportional to 155,512.50 and 287,664 is: 532,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,512.50 : 287,664 = 287,664 : x
  2. Step 2: Convert to fraction form
    155,512.50/287,664 = 287,664/x
  3. Step 3: Cross multiply
    155,512.50x = 287,664 × 287,664
  4. Step 4: Simplify right side
    155,512.50x = 82,750,576,896
  5. Step 5: Solve for x
    x = 82,750,576,896/155,512.50
  6. Step 6: Final answer
    x = 532,115.28

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.