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Finding the Third Proportional to 177,402 and 387,690

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Solution

The third proportional to 177,402 and 387,690 is: 847,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,402 : 387,690 = 387,690 : x
  2. Step 2: Convert to fraction form
    177,402/387,690 = 387,690/x
  3. Step 3: Cross multiply
    177,402x = 387,690 × 387,690
  4. Step 4: Simplify right side
    177,402x = 150,303,536,100
  5. Step 5: Solve for x
    x = 150,303,536,100/177,402
  6. Step 6: Final answer
    x = 847,248.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.