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Finding the Third Proportional to 138,490.50 and 306,044.25

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Solution

The third proportional to 138,490.50 and 306,044.25 is: 676,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,490.50 : 306,044.25 = 306,044.25 : x
  2. Step 2: Convert to fraction form
    138,490.50/306,044.25 = 306,044.25/x
  3. Step 3: Cross multiply
    138,490.50x = 306,044.25 × 306,044.25
  4. Step 4: Simplify right side
    138,490.50x = 93,663,082,958.06
  5. Step 5: Solve for x
    x = 93,663,082,958.06/138,490.50
  6. Step 6: Final answer
    x = 676,314.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.