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Finding the Third Proportional to 489,947.25 and 769,916.25

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Solution

The third proportional to 489,947.25 and 769,916.25 is: 1,209,867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,947.25 : 769,916.25 = 769,916.25 : x
  2. Step 2: Convert to fraction form
    489,947.25/769,916.25 = 769,916.25/x
  3. Step 3: Cross multiply
    489,947.25x = 769,916.25 × 769,916.25
  4. Step 4: Simplify right side
    489,947.25x = 592,771,032,014.06
  5. Step 5: Solve for x
    x = 592,771,032,014.06/489,947.25
  6. Step 6: Final answer
    x = 1,209,867.05

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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.