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Finding the Third Proportional to 160,746 and 343,636

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Solution

The third proportional to 160,746 and 343,636 is: 734,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,746 : 343,636 = 343,636 : x
  2. Step 2: Convert to fraction form
    160,746/343,636 = 343,636/x
  3. Step 3: Cross multiply
    160,746x = 343,636 × 343,636
  4. Step 4: Simplify right side
    160,746x = 118,085,700,496
  5. Step 5: Solve for x
    x = 118,085,700,496/160,746
  6. Step 6: Final answer
    x = 734,610.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.