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Finding the Third Proportional to 157,836 and 343,320

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Solution

The third proportional to 157,836 and 343,320 is: 746,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,836 : 343,320 = 343,320 : x
  2. Step 2: Convert to fraction form
    157,836/343,320 = 343,320/x
  3. Step 3: Cross multiply
    157,836x = 343,320 × 343,320
  4. Step 4: Simplify right side
    157,836x = 117,868,622,400
  5. Step 5: Solve for x
    x = 117,868,622,400/157,836
  6. Step 6: Final answer
    x = 746,779.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.