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Finding the Third Proportional to 186,815 and 268,545

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Solution

The third proportional to 186,815 and 268,545 is: 386,031.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,815 : 268,545 = 268,545 : x
  2. Step 2: Convert to fraction form
    186,815/268,545 = 268,545/x
  3. Step 3: Cross multiply
    186,815x = 268,545 × 268,545
  4. Step 4: Simplify right side
    186,815x = 72,116,417,025
  5. Step 5: Solve for x
    x = 72,116,417,025/186,815
  6. Step 6: Final answer
    x = 386,031.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.