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Finding the Third Proportional to 190,494 and 418,585

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Solution

The third proportional to 190,494 and 418,585 is: 919,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,494 : 418,585 = 418,585 : x
  2. Step 2: Convert to fraction form
    190,494/418,585 = 418,585/x
  3. Step 3: Cross multiply
    190,494x = 418,585 × 418,585
  4. Step 4: Simplify right side
    190,494x = 175,213,402,225
  5. Step 5: Solve for x
    x = 175,213,402,225/190,494
  6. Step 6: Final answer
    x = 919,784.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.