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Finding the Third Proportional to 212,692.50 and 319,036.50

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Solution

The third proportional to 212,692.50 and 319,036.50 is: 478,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,692.50 : 319,036.50 = 319,036.50 : x
  2. Step 2: Convert to fraction form
    212,692.50/319,036.50 = 319,036.50/x
  3. Step 3: Cross multiply
    212,692.50x = 319,036.50 × 319,036.50
  4. Step 4: Simplify right side
    212,692.50x = 101,784,288,332.25
  5. Step 5: Solve for x
    x = 101,784,288,332.25/212,692.50
  6. Step 6: Final answer
    x = 478,551.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.