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Finding the Third Proportional to 186,999 and 402,510

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Solution

The third proportional to 186,999 and 402,510 is: 866,391.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,999 : 402,510 = 402,510 : x
  2. Step 2: Convert to fraction form
    186,999/402,510 = 402,510/x
  3. Step 3: Cross multiply
    186,999x = 402,510 × 402,510
  4. Step 4: Simplify right side
    186,999x = 162,014,300,100
  5. Step 5: Solve for x
    x = 162,014,300,100/186,999
  6. Step 6: Final answer
    x = 866,391.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.