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Finding the Third Proportional to 258,294 and 387,705

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Solution

The third proportional to 258,294 and 387,705 is: 581,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,294 : 387,705 = 387,705 : x
  2. Step 2: Convert to fraction form
    258,294/387,705 = 387,705/x
  3. Step 3: Cross multiply
    258,294x = 387,705 × 387,705
  4. Step 4: Simplify right side
    258,294x = 150,315,167,025
  5. Step 5: Solve for x
    x = 150,315,167,025/258,294
  6. Step 6: Final answer
    x = 581,953.77

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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.