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Finding the Third Proportional to 489,829.50 and 756,589.50

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Solution

The third proportional to 489,829.50 and 756,589.50 is: 1,168,626.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,829.50 : 756,589.50 = 756,589.50 : x
  2. Step 2: Convert to fraction form
    489,829.50/756,589.50 = 756,589.50/x
  3. Step 3: Cross multiply
    489,829.50x = 756,589.50 × 756,589.50
  4. Step 4: Simplify right side
    489,829.50x = 572,427,671,510.25
  5. Step 5: Solve for x
    x = 572,427,671,510.25/489,829.50
  6. Step 6: Final answer
    x = 1,168,626.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.