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Finding the Third Proportional to 338,394 and 535,449

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Solution

The third proportional to 338,394 and 535,449 is: 847,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,394 : 535,449 = 535,449 : x
  2. Step 2: Convert to fraction form
    338,394/535,449 = 535,449/x
  3. Step 3: Cross multiply
    338,394x = 535,449 × 535,449
  4. Step 4: Simplify right side
    338,394x = 286,705,631,601
  5. Step 5: Solve for x
    x = 286,705,631,601/338,394
  6. Step 6: Final answer
    x = 847,253.89

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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.