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Finding the Third Proportional to 187,153.50 and 279,643.50

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Solution

The third proportional to 187,153.50 and 279,643.50 is: 417,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,153.50 : 279,643.50 = 279,643.50 : x
  2. Step 2: Convert to fraction form
    187,153.50/279,643.50 = 279,643.50/x
  3. Step 3: Cross multiply
    187,153.50x = 279,643.50 × 279,643.50
  4. Step 4: Simplify right side
    187,153.50x = 78,200,487,092.25
  5. Step 5: Solve for x
    x = 78,200,487,092.25/187,153.50
  6. Step 6: Final answer
    x = 417,841.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.