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Finding the Third Proportional to 186,972 and 405,492

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Solution

The third proportional to 186,972 and 405,492 is: 879,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,972 : 405,492 = 405,492 : x
  2. Step 2: Convert to fraction form
    186,972/405,492 = 405,492/x
  3. Step 3: Cross multiply
    186,972x = 405,492 × 405,492
  4. Step 4: Simplify right side
    186,972x = 164,423,762,064
  5. Step 5: Solve for x
    x = 164,423,762,064/186,972
  6. Step 6: Final answer
    x = 879,403.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.