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Finding the Third Proportional to 577.69 and 707.63

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Solution

The third proportional to 577.69 and 707.63 is: 866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.69 : 707.63 = 707.63 : x
  2. Step 2: Convert to fraction form
    577.69/707.63 = 707.63/x
  3. Step 3: Cross multiply
    577.69x = 707.63 × 707.63
  4. Step 4: Simplify right side
    577.69x = 500,733.14
  5. Step 5: Solve for x
    x = 500,733.14/577.69
  6. Step 6: Final answer
    x = 866.79

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.