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Finding the Third Proportional to 420.47 and 577.41

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Solution

The third proportional to 420.47 and 577.41 is: 792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.47 : 577.41 = 577.41 : x
  2. Step 2: Convert to fraction form
    420.47/577.41 = 577.41/x
  3. Step 3: Cross multiply
    420.47x = 577.41 × 577.41
  4. Step 4: Simplify right side
    420.47x = 333,397.98
  5. Step 5: Solve for x
    x = 333,397.98/420.47
  6. Step 6: Final answer
    x = 792.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.