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Finding the Third Proportional to 763.59 and 1,577.81

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Solution

The third proportional to 763.59 and 1,577.81 is: 3,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.59 : 1,577.81 = 1,577.81 : x
  2. Step 2: Convert to fraction form
    763.59/1,577.81 = 1,577.81/x
  3. Step 3: Cross multiply
    763.59x = 1,577.81 × 1,577.81
  4. Step 4: Simplify right side
    763.59x = 2,489,492.29
  5. Step 5: Solve for x
    x = 2,489,492.29/763.59
  6. Step 6: Final answer
    x = 3,260.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.