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Finding the Third Proportional to 274,642.50 and 437,029.50

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Solution

The third proportional to 274,642.50 and 437,029.50 is: 695,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,642.50 : 437,029.50 = 437,029.50 : x
  2. Step 2: Convert to fraction form
    274,642.50/437,029.50 = 437,029.50/x
  3. Step 3: Cross multiply
    274,642.50x = 437,029.50 × 437,029.50
  4. Step 4: Simplify right side
    274,642.50x = 190,994,783,870.25
  5. Step 5: Solve for x
    x = 190,994,783,870.25/274,642.50
  6. Step 6: Final answer
    x = 695,430.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.