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Finding the Third Proportional to 186,854 and 289,460

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Solution

The third proportional to 186,854 and 289,460 is: 448,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,854 : 289,460 = 289,460 : x
  2. Step 2: Convert to fraction form
    186,854/289,460 = 289,460/x
  3. Step 3: Cross multiply
    186,854x = 289,460 × 289,460
  4. Step 4: Simplify right side
    186,854x = 83,787,091,600
  5. Step 5: Solve for x
    x = 83,787,091,600/186,854
  6. Step 6: Final answer
    x = 448,409.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.