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Finding the Third Proportional to 157,020 and 343,899

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Solution

The third proportional to 157,020 and 343,899 is: 753,194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,020 : 343,899 = 343,899 : x
  2. Step 2: Convert to fraction form
    157,020/343,899 = 343,899/x
  3. Step 3: Cross multiply
    157,020x = 343,899 × 343,899
  4. Step 4: Simplify right side
    157,020x = 118,266,522,201
  5. Step 5: Solve for x
    x = 118,266,522,201/157,020
  6. Step 6: Final answer
    x = 753,194.00

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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.