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Finding the Third Proportional to 489,964.50 and 769,938.75

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Solution

The third proportional to 489,964.50 and 769,938.75 is: 1,209,895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,964.50 : 769,938.75 = 769,938.75 : x
  2. Step 2: Convert to fraction form
    489,964.50/769,938.75 = 769,938.75/x
  3. Step 3: Cross multiply
    489,964.50x = 769,938.75 × 769,938.75
  4. Step 4: Simplify right side
    489,964.50x = 592,805,678,751.56
  5. Step 5: Solve for x
    x = 592,805,678,751.56/489,964.50
  6. Step 6: Final answer
    x = 1,209,895.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.