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Finding the Third Proportional to 231,619.50 and 369,877.50

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Solution

The third proportional to 231,619.50 and 369,877.50 is: 590,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,619.50 : 369,877.50 = 369,877.50 : x
  2. Step 2: Convert to fraction form
    231,619.50/369,877.50 = 369,877.50/x
  3. Step 3: Cross multiply
    231,619.50x = 369,877.50 × 369,877.50
  4. Step 4: Simplify right side
    231,619.50x = 136,809,365,006.25
  5. Step 5: Solve for x
    x = 136,809,365,006.25/231,619.50
  6. Step 6: Final answer
    x = 590,664.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.