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Finding the Third Proportional to 157,224 and 339,476.81

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Solution

The third proportional to 157,224 and 339,476.81 is: 732,995.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,224 : 339,476.81 = 339,476.81 : x
  2. Step 2: Convert to fraction form
    157,224/339,476.81 = 339,476.81/x
  3. Step 3: Cross multiply
    157,224x = 339,476.81 × 339,476.81
  4. Step 4: Simplify right side
    157,224x = 115,244,506,225.16
  5. Step 5: Solve for x
    x = 115,244,506,225.16/157,224
  6. Step 6: Final answer
    x = 732,995.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.