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Finding the Third Proportional to 186,490 and 281,284

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Solution

The third proportional to 186,490 and 281,284 is: 424,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,490 : 281,284 = 281,284 : x
  2. Step 2: Convert to fraction form
    186,490/281,284 = 281,284/x
  3. Step 3: Cross multiply
    186,490x = 281,284 × 281,284
  4. Step 4: Simplify right side
    186,490x = 79,120,688,656
  5. Step 5: Solve for x
    x = 79,120,688,656/186,490
  6. Step 6: Final answer
    x = 424,262.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.