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Finding the Third Proportional to 344,539.50 and 730,780.50

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Solution

The third proportional to 344,539.50 and 730,780.50 is: 1,550,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,539.50 : 730,780.50 = 730,780.50 : x
  2. Step 2: Convert to fraction form
    344,539.50/730,780.50 = 730,780.50/x
  3. Step 3: Cross multiply
    344,539.50x = 730,780.50 × 730,780.50
  4. Step 4: Simplify right side
    344,539.50x = 534,040,139,180.25
  5. Step 5: Solve for x
    x = 534,040,139,180.25/344,539.50
  6. Step 6: Final answer
    x = 1,550,011.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.