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Finding the Third Proportional to 157,184 and 343,688

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Solution

The third proportional to 157,184 and 343,688 is: 751,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,184 : 343,688 = 343,688 : x
  2. Step 2: Convert to fraction form
    157,184/343,688 = 343,688/x
  3. Step 3: Cross multiply
    157,184x = 343,688 × 343,688
  4. Step 4: Simplify right side
    157,184x = 118,121,441,344
  5. Step 5: Solve for x
    x = 118,121,441,344/157,184
  6. Step 6: Final answer
    x = 751,485.15

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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.