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Finding the Third Proportional to 186,490 and 289,296

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Solution

The third proportional to 186,490 and 289,296 is: 448,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,490 : 289,296 = 289,296 : x
  2. Step 2: Convert to fraction form
    186,490/289,296 = 289,296/x
  3. Step 3: Cross multiply
    186,490x = 289,296 × 289,296
  4. Step 4: Simplify right side
    186,490x = 83,692,175,616
  5. Step 5: Solve for x
    x = 83,692,175,616/186,490
  6. Step 6: Final answer
    x = 448,775.67

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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.