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Finding the Third Proportional to 480,404.25 and 765,537.75

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Solution

The third proportional to 480,404.25 and 765,537.75 is: 1,219,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,404.25 : 765,537.75 = 765,537.75 : x
  2. Step 2: Convert to fraction form
    480,404.25/765,537.75 = 765,537.75/x
  3. Step 3: Cross multiply
    480,404.25x = 765,537.75 × 765,537.75
  4. Step 4: Simplify right side
    480,404.25x = 586,048,046,675.06
  5. Step 5: Solve for x
    x = 586,048,046,675.06/480,404.25
  6. Step 6: Final answer
    x = 1,219,906.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.