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Finding the Third Proportional to 130,400 and 284,160

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Solution

The third proportional to 130,400 and 284,160 is: 619,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,400 : 284,160 = 284,160 : x
  2. Step 2: Convert to fraction form
    130,400/284,160 = 284,160/x
  3. Step 3: Cross multiply
    130,400x = 284,160 × 284,160
  4. Step 4: Simplify right side
    130,400x = 80,746,905,600
  5. Step 5: Solve for x
    x = 80,746,905,600/130,400
  6. Step 6: Final answer
    x = 619,224.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.