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Finding the Third Proportional to 338,400 and 535,458

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Solution

The third proportional to 338,400 and 535,458 is: 847,267.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,400 : 535,458 = 535,458 : x
  2. Step 2: Convert to fraction form
    338,400/535,458 = 535,458/x
  3. Step 3: Cross multiply
    338,400x = 535,458 × 535,458
  4. Step 4: Simplify right side
    338,400x = 286,715,269,764
  5. Step 5: Solve for x
    x = 286,715,269,764/338,400
  6. Step 6: Final answer
    x = 847,267.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.