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Finding the Third Proportional to 152,120 and 355,420

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Solution

The third proportional to 152,120 and 355,420 is: 830,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,120 : 355,420 = 355,420 : x
  2. Step 2: Convert to fraction form
    152,120/355,420 = 355,420/x
  3. Step 3: Cross multiply
    152,120x = 355,420 × 355,420
  4. Step 4: Simplify right side
    152,120x = 126,323,376,400
  5. Step 5: Solve for x
    x = 126,323,376,400/152,120
  6. Step 6: Final answer
    x = 830,419.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.