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Finding the Third Proportional to 336,688 and 738,805

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Solution

The third proportional to 336,688 and 738,805 is: 1,621,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,688 : 738,805 = 738,805 : x
  2. Step 2: Convert to fraction form
    336,688/738,805 = 738,805/x
  3. Step 3: Cross multiply
    336,688x = 738,805 × 738,805
  4. Step 4: Simplify right side
    336,688x = 545,832,828,025
  5. Step 5: Solve for x
    x = 545,832,828,025/336,688
  6. Step 6: Final answer
    x = 1,621,182.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.