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Finding the Third Proportional to 258,457 and 377,659

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Solution

The third proportional to 258,457 and 377,659 is: 551,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,457 : 377,659 = 377,659 : x
  2. Step 2: Convert to fraction form
    258,457/377,659 = 377,659/x
  3. Step 3: Cross multiply
    258,457x = 377,659 × 377,659
  4. Step 4: Simplify right side
    258,457x = 142,626,320,281
  5. Step 5: Solve for x
    x = 142,626,320,281/258,457
  6. Step 6: Final answer
    x = 551,837.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.