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Finding the Third Proportional to 489,694.50 and 749,030.25

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Solution

The third proportional to 489,694.50 and 749,030.25 is: 1,145,706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,694.50 : 749,030.25 = 749,030.25 : x
  2. Step 2: Convert to fraction form
    489,694.50/749,030.25 = 749,030.25/x
  3. Step 3: Cross multiply
    489,694.50x = 749,030.25 × 749,030.25
  4. Step 4: Simplify right side
    489,694.50x = 561,046,315,415.06
  5. Step 5: Solve for x
    x = 561,046,315,415.06/489,694.50
  6. Step 6: Final answer
    x = 1,145,706.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.