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Finding the Third Proportional to 380,457 and 569,646

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Solution

The third proportional to 380,457 and 569,646 is: 852,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,457 : 569,646 = 569,646 : x
  2. Step 2: Convert to fraction form
    380,457/569,646 = 569,646/x
  3. Step 3: Cross multiply
    380,457x = 569,646 × 569,646
  4. Step 4: Simplify right side
    380,457x = 324,496,565,316
  5. Step 5: Solve for x
    x = 324,496,565,316/380,457
  6. Step 6: Final answer
    x = 852,912.59

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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.