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Finding the Third Proportional to 489,979.13 and 734,968.69

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Solution

The third proportional to 489,979.13 and 734,968.69 is: 1,102,453.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,979.13 : 734,968.69 = 734,968.69 : x
  2. Step 2: Convert to fraction form
    489,979.13/734,968.69 = 734,968.69/x
  3. Step 3: Cross multiply
    489,979.13x = 734,968.69 × 734,968.69
  4. Step 4: Simplify right side
    489,979.13x = 540,178,971,605.47
  5. Step 5: Solve for x
    x = 540,178,971,605.47/489,979.13
  6. Step 6: Final answer
    x = 1,102,453.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.