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Finding the Third Proportional to 208,475 and 491,643.50

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Solution

The third proportional to 208,475 and 491,643.50 is: 1,159,435.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,475 : 491,643.50 = 491,643.50 : x
  2. Step 2: Convert to fraction form
    208,475/491,643.50 = 491,643.50/x
  3. Step 3: Cross multiply
    208,475x = 491,643.50 × 491,643.50
  4. Step 4: Simplify right side
    208,475x = 241,713,331,092.25
  5. Step 5: Solve for x
    x = 241,713,331,092.25/208,475
  6. Step 6: Final answer
    x = 1,159,435.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.