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Finding the Third Proportional to 186,633 and 402,423

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Solution

The third proportional to 186,633 and 402,423 is: 867,715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,633 : 402,423 = 402,423 : x
  2. Step 2: Convert to fraction form
    186,633/402,423 = 402,423/x
  3. Step 3: Cross multiply
    186,633x = 402,423 × 402,423
  4. Step 4: Simplify right side
    186,633x = 161,944,270,929
  5. Step 5: Solve for x
    x = 161,944,270,929/186,633
  6. Step 6: Final answer
    x = 867,715.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.