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Finding the Third Proportional to 138,513 and 298,896

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Solution

The third proportional to 138,513 and 298,896 is: 644,985.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,513 : 298,896 = 298,896 : x
  2. Step 2: Convert to fraction form
    138,513/298,896 = 298,896/x
  3. Step 3: Cross multiply
    138,513x = 298,896 × 298,896
  4. Step 4: Simplify right side
    138,513x = 89,338,818,816
  5. Step 5: Solve for x
    x = 89,338,818,816/138,513
  6. Step 6: Final answer
    x = 644,985.08

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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.