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Finding the Third Proportional to 434,190 and 655,822

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Solution

The third proportional to 434,190 and 655,822 is: 990,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,190 : 655,822 = 655,822 : x
  2. Step 2: Convert to fraction form
    434,190/655,822 = 655,822/x
  3. Step 3: Cross multiply
    434,190x = 655,822 × 655,822
  4. Step 4: Simplify right side
    434,190x = 430,102,495,684
  5. Step 5: Solve for x
    x = 430,102,495,684/434,190
  6. Step 6: Final answer
    x = 990,585.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.