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Finding the Third Proportional to 152,128.50 and 339,237

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Solution

The third proportional to 152,128.50 and 339,237 is: 756,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,128.50 : 339,237 = 339,237 : x
  2. Step 2: Convert to fraction form
    152,128.50/339,237 = 339,237/x
  3. Step 3: Cross multiply
    152,128.50x = 339,237 × 339,237
  4. Step 4: Simplify right side
    152,128.50x = 115,081,742,169
  5. Step 5: Solve for x
    x = 115,081,742,169/152,128.50
  6. Step 6: Final answer
    x = 756,477.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.