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Finding the Third Proportional to 64,324 and 138,492

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Solution

The third proportional to 64,324 and 138,492 is: 298,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,324 : 138,492 = 138,492 : x
  2. Step 2: Convert to fraction form
    64,324/138,492 = 138,492/x
  3. Step 3: Cross multiply
    64,324x = 138,492 × 138,492
  4. Step 4: Simplify right side
    64,324x = 19,180,034,064
  5. Step 5: Solve for x
    x = 19,180,034,064/64,324
  6. Step 6: Final answer
    x = 298,178.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.