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Finding the Third Proportional to 186,858 and 408,789

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Solution

The third proportional to 186,858 and 408,789 is: 894,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,858 : 408,789 = 408,789 : x
  2. Step 2: Convert to fraction form
    186,858/408,789 = 408,789/x
  3. Step 3: Cross multiply
    186,858x = 408,789 × 408,789
  4. Step 4: Simplify right side
    186,858x = 167,108,446,521
  5. Step 5: Solve for x
    x = 167,108,446,521/186,858
  6. Step 6: Final answer
    x = 894,307.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.