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Finding the Third Proportional to 338,045.63 and 688,613.63

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Solution

The third proportional to 338,045.63 and 688,613.63 is: 1,402,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,045.63 : 688,613.63 = 688,613.63 : x
  2. Step 2: Convert to fraction form
    338,045.63/688,613.63 = 688,613.63/x
  3. Step 3: Cross multiply
    338,045.63x = 688,613.63 × 688,613.63
  4. Step 4: Simplify right side
    338,045.63x = 474,188,724,535.64
  5. Step 5: Solve for x
    x = 474,188,724,535.64/338,045.63
  6. Step 6: Final answer
    x = 1,402,735.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.