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Finding the Third Proportional to 49,590 and 71,068.50

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Solution

The third proportional to 49,590 and 71,068.50 is: 101,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,590 : 71,068.50 = 71,068.50 : x
  2. Step 2: Convert to fraction form
    49,590/71,068.50 = 71,068.50/x
  3. Step 3: Cross multiply
    49,590x = 71,068.50 × 71,068.50
  4. Step 4: Simplify right side
    49,590x = 5,050,731,692.25
  5. Step 5: Solve for x
    x = 5,050,731,692.25/49,590
  6. Step 6: Final answer
    x = 101,849.80

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