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Finding the Third Proportional to 138,770 and 298,953

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Solution

The third proportional to 138,770 and 298,953 is: 644,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,770 : 298,953 = 298,953 : x
  2. Step 2: Convert to fraction form
    138,770/298,953 = 298,953/x
  3. Step 3: Cross multiply
    138,770x = 298,953 × 298,953
  4. Step 4: Simplify right side
    138,770x = 89,372,896,209
  5. Step 5: Solve for x
    x = 89,372,896,209/138,770
  6. Step 6: Final answer
    x = 644,036.15

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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.