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Finding the Third Proportional to 761.25 and 1,643.25

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Solution

The third proportional to 761.25 and 1,643.25 is: 3,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.25 : 1,643.25 = 1,643.25 : x
  2. Step 2: Convert to fraction form
    761.25/1,643.25 = 1,643.25/x
  3. Step 3: Cross multiply
    761.25x = 1,643.25 × 1,643.25
  4. Step 4: Simplify right side
    761.25x = 2,700,270.56
  5. Step 5: Solve for x
    x = 2,700,270.56/761.25
  6. Step 6: Final answer
    x = 3,547.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.