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Finding the Third Proportional to 186,960 and 405,465

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Solution

The third proportional to 186,960 and 405,465 is: 879,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,960 : 405,465 = 405,465 : x
  2. Step 2: Convert to fraction form
    186,960/405,465 = 405,465/x
  3. Step 3: Cross multiply
    186,960x = 405,465 × 405,465
  4. Step 4: Simplify right side
    186,960x = 164,401,866,225
  5. Step 5: Solve for x
    x = 164,401,866,225/186,960
  6. Step 6: Final answer
    x = 879,342.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.