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Finding the Third Proportional to 258,944 and 349,854

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Solution

The third proportional to 258,944 and 349,854 is: 472,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,944 : 349,854 = 349,854 : x
  2. Step 2: Convert to fraction form
    258,944/349,854 = 349,854/x
  3. Step 3: Cross multiply
    258,944x = 349,854 × 349,854
  4. Step 4: Simplify right side
    258,944x = 122,397,821,316
  5. Step 5: Solve for x
    x = 122,397,821,316/258,944
  6. Step 6: Final answer
    x = 472,680.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.