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Finding the Third Proportional to 138,364 and 298,526

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Solution

The third proportional to 138,364 and 298,526 is: 644,082.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,364 : 298,526 = 298,526 : x
  2. Step 2: Convert to fraction form
    138,364/298,526 = 298,526/x
  3. Step 3: Cross multiply
    138,364x = 298,526 × 298,526
  4. Step 4: Simplify right side
    138,364x = 89,117,772,676
  5. Step 5: Solve for x
    x = 89,117,772,676/138,364
  6. Step 6: Final answer
    x = 644,082.08

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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.