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Finding the Third Proportional to 130,920 and 285,168

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Solution

The third proportional to 130,920 and 285,168 is: 621,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,920 : 285,168 = 285,168 : x
  2. Step 2: Convert to fraction form
    130,920/285,168 = 285,168/x
  3. Step 3: Cross multiply
    130,920x = 285,168 × 285,168
  4. Step 4: Simplify right side
    130,920x = 81,320,788,224
  5. Step 5: Solve for x
    x = 81,320,788,224/130,920
  6. Step 6: Final answer
    x = 621,148.70

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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.