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Finding the Third Proportional to 186,578 and 402,640

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Solution

The third proportional to 186,578 and 402,640 is: 868,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,578 : 402,640 = 402,640 : x
  2. Step 2: Convert to fraction form
    186,578/402,640 = 402,640/x
  3. Step 3: Cross multiply
    186,578x = 402,640 × 402,640
  4. Step 4: Simplify right side
    186,578x = 162,118,969,600
  5. Step 5: Solve for x
    x = 162,118,969,600/186,578
  6. Step 6: Final answer
    x = 868,907.21

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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.