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Finding the Third Proportional to 282,352.50 and 402,485

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Solution

The third proportional to 282,352.50 and 402,485 is: 573,730.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,352.50 : 402,485 = 402,485 : x
  2. Step 2: Convert to fraction form
    282,352.50/402,485 = 402,485/x
  3. Step 3: Cross multiply
    282,352.50x = 402,485 × 402,485
  4. Step 4: Simplify right side
    282,352.50x = 161,994,175,225
  5. Step 5: Solve for x
    x = 161,994,175,225/282,352.50
  6. Step 6: Final answer
    x = 573,730.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.