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Finding the Third Proportional to 405.19 and 592.59

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Solution

The third proportional to 405.19 and 592.59 is: 866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.19 : 592.59 = 592.59 : x
  2. Step 2: Convert to fraction form
    405.19/592.59 = 592.59/x
  3. Step 3: Cross multiply
    405.19x = 592.59 × 592.59
  4. Step 4: Simplify right side
    405.19x = 351,167.35
  5. Step 5: Solve for x
    x = 351,167.35/405.19
  6. Step 6: Final answer
    x = 866.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.