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Finding the Third Proportional to 310,795.50 and 438,687

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Solution

The third proportional to 310,795.50 and 438,687 is: 619,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,795.50 : 438,687 = 438,687 : x
  2. Step 2: Convert to fraction form
    310,795.50/438,687 = 438,687/x
  3. Step 3: Cross multiply
    310,795.50x = 438,687 × 438,687
  4. Step 4: Simplify right side
    310,795.50x = 192,446,283,969
  5. Step 5: Solve for x
    x = 192,446,283,969/310,795.50
  6. Step 6: Final answer
    x = 619,205.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.