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Finding the Third Proportional to 138,582.50 and 299,341

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Solution

The third proportional to 138,582.50 and 299,341 is: 646,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,582.50 : 299,341 = 299,341 : x
  2. Step 2: Convert to fraction form
    138,582.50/299,341 = 299,341/x
  3. Step 3: Cross multiply
    138,582.50x = 299,341 × 299,341
  4. Step 4: Simplify right side
    138,582.50x = 89,605,034,281
  5. Step 5: Solve for x
    x = 89,605,034,281/138,582.50
  6. Step 6: Final answer
    x = 646,582.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.