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Finding the Third Proportional to 190,688 and 418,716

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Solution

The third proportional to 190,688 and 418,716 is: 919,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,688 : 418,716 = 418,716 : x
  2. Step 2: Convert to fraction form
    190,688/418,716 = 418,716/x
  3. Step 3: Cross multiply
    190,688x = 418,716 × 418,716
  4. Step 4: Simplify right side
    190,688x = 175,323,088,656
  5. Step 5: Solve for x
    x = 175,323,088,656/190,688
  6. Step 6: Final answer
    x = 919,423.82

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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.