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Finding the Third Proportional to 102,809 and 153,361

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Solution

The third proportional to 102,809 and 153,361 is: 228,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,809 : 153,361 = 153,361 : x
  2. Step 2: Convert to fraction form
    102,809/153,361 = 153,361/x
  3. Step 3: Cross multiply
    102,809x = 153,361 × 153,361
  4. Step 4: Simplify right side
    102,809x = 23,519,596,321
  5. Step 5: Solve for x
    x = 23,519,596,321/102,809
  6. Step 6: Final answer
    x = 228,769.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.