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Finding the Third Proportional to 130,964 and 285,920

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Solution

The third proportional to 130,964 and 285,920 is: 624,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,964 : 285,920 = 285,920 : x
  2. Step 2: Convert to fraction form
    130,964/285,920 = 285,920/x
  3. Step 3: Cross multiply
    130,964x = 285,920 × 285,920
  4. Step 4: Simplify right side
    130,964x = 81,750,246,400
  5. Step 5: Solve for x
    x = 81,750,246,400/130,964
  6. Step 6: Final answer
    x = 624,219.22

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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.