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Finding the Third Proportional to 153,408 and 333,120

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Solution

The third proportional to 153,408 and 333,120 is: 723,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,408 : 333,120 = 333,120 : x
  2. Step 2: Convert to fraction form
    153,408/333,120 = 333,120/x
  3. Step 3: Cross multiply
    153,408x = 333,120 × 333,120
  4. Step 4: Simplify right side
    153,408x = 110,968,934,400
  5. Step 5: Solve for x
    x = 110,968,934,400/153,408
  6. Step 6: Final answer
    x = 723,358.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.