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Finding the Third Proportional to 346.69 and 536.81

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Solution

The third proportional to 346.69 and 536.81 is: 831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.69 : 536.81 = 536.81 : x
  2. Step 2: Convert to fraction form
    346.69/536.81 = 536.81/x
  3. Step 3: Cross multiply
    346.69x = 536.81 × 536.81
  4. Step 4: Simplify right side
    346.69x = 288,167.66
  5. Step 5: Solve for x
    x = 288,167.66/346.69
  6. Step 6: Final answer
    x = 831.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.