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Finding the Third Proportional to 131,324 and 288,178

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Solution

The third proportional to 131,324 and 288,178 is: 632,379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,324 : 288,178 = 288,178 : x
  2. Step 2: Convert to fraction form
    131,324/288,178 = 288,178/x
  3. Step 3: Cross multiply
    131,324x = 288,178 × 288,178
  4. Step 4: Simplify right side
    131,324x = 83,046,559,684
  5. Step 5: Solve for x
    x = 83,046,559,684/131,324
  6. Step 6: Final answer
    x = 632,379.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.