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Finding the Third Proportional to 90,902.50 and 212,310

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Solution

The third proportional to 90,902.50 and 212,310 is: 495,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,902.50 : 212,310 = 212,310 : x
  2. Step 2: Convert to fraction form
    90,902.50/212,310 = 212,310/x
  3. Step 3: Cross multiply
    90,902.50x = 212,310 × 212,310
  4. Step 4: Simplify right side
    90,902.50x = 45,075,536,100
  5. Step 5: Solve for x
    x = 45,075,536,100/90,902.50
  6. Step 6: Final answer
    x = 495,866.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.