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Finding the Third Proportional to 479.95 and 765.21

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Solution

The third proportional to 479.95 and 765.21 is: 1,220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.95 : 765.21 = 765.21 : x
  2. Step 2: Convert to fraction form
    479.95/765.21 = 765.21/x
  3. Step 3: Cross multiply
    479.95x = 765.21 × 765.21
  4. Step 4: Simplify right side
    479.95x = 585,547.78
  5. Step 5: Solve for x
    x = 585,547.78/479.95
  6. Step 6: Final answer
    x = 1,220.01

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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.