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Finding the Third Proportional to 274,894 and 387,104

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Solution

The third proportional to 274,894 and 387,104 is: 545,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,894 : 387,104 = 387,104 : x
  2. Step 2: Convert to fraction form
    274,894/387,104 = 387,104/x
  3. Step 3: Cross multiply
    274,894x = 387,104 × 387,104
  4. Step 4: Simplify right side
    274,894x = 149,849,506,816
  5. Step 5: Solve for x
    x = 149,849,506,816/274,894
  6. Step 6: Final answer
    x = 545,117.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.