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Finding the Third Proportional to 156,480 and 234,120

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Solution

The third proportional to 156,480 and 234,120 is: 350,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,480 : 234,120 = 234,120 : x
  2. Step 2: Convert to fraction form
    156,480/234,120 = 234,120/x
  3. Step 3: Cross multiply
    156,480x = 234,120 × 234,120
  4. Step 4: Simplify right side
    156,480x = 54,812,174,400
  5. Step 5: Solve for x
    x = 54,812,174,400/156,480
  6. Step 6: Final answer
    x = 350,282.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.