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Finding the Third Proportional to 186,608 and 402,688

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Solution

The third proportional to 186,608 and 402,688 is: 868,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,608 : 402,688 = 402,688 : x
  2. Step 2: Convert to fraction form
    186,608/402,688 = 402,688/x
  3. Step 3: Cross multiply
    186,608x = 402,688 × 402,688
  4. Step 4: Simplify right side
    186,608x = 162,157,625,344
  5. Step 5: Solve for x
    x = 162,157,625,344/186,608
  6. Step 6: Final answer
    x = 868,974.67

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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.