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Finding the Third Proportional to 380,205 and 569,169

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Solution

The third proportional to 380,205 and 569,169 is: 852,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,205 : 569,169 = 569,169 : x
  2. Step 2: Convert to fraction form
    380,205/569,169 = 569,169/x
  3. Step 3: Cross multiply
    380,205x = 569,169 × 569,169
  4. Step 4: Simplify right side
    380,205x = 323,953,350,561
  5. Step 5: Solve for x
    x = 323,953,350,561/380,205
  6. Step 6: Final answer
    x = 852,049.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.