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Finding the Third Proportional to 190,539 and 400,275

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Solution

The third proportional to 190,539 and 400,275 is: 840,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,539 : 400,275 = 400,275 : x
  2. Step 2: Convert to fraction form
    190,539/400,275 = 400,275/x
  3. Step 3: Cross multiply
    190,539x = 400,275 × 400,275
  4. Step 4: Simplify right side
    190,539x = 160,220,075,625
  5. Step 5: Solve for x
    x = 160,220,075,625/190,539
  6. Step 6: Final answer
    x = 840,878.12

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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.