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Finding the Third Proportional to 51,090 and 84,429

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Solution

The third proportional to 51,090 and 84,429 is: 139,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,090 : 84,429 = 84,429 : x
  2. Step 2: Convert to fraction form
    51,090/84,429 = 84,429/x
  3. Step 3: Cross multiply
    51,090x = 84,429 × 84,429
  4. Step 4: Simplify right side
    51,090x = 7,128,256,041
  5. Step 5: Solve for x
    x = 7,128,256,041/51,090
  6. Step 6: Final answer
    x = 139,523.51

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.