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Finding the Third Proportional to 92,075.25 and 193,438.50

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Solution

The third proportional to 92,075.25 and 193,438.50 is: 406,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,075.25 : 193,438.50 = 193,438.50 : x
  2. Step 2: Convert to fraction form
    92,075.25/193,438.50 = 193,438.50/x
  3. Step 3: Cross multiply
    92,075.25x = 193,438.50 × 193,438.50
  4. Step 4: Simplify right side
    92,075.25x = 37,418,453,282.25
  5. Step 5: Solve for x
    x = 37,418,453,282.25/92,075.25
  6. Step 6: Final answer
    x = 406,389.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.