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Finding the Third Proportional to 309,032 and 637,920

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Solution

The third proportional to 309,032 and 637,920 is: 1,316,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,032 : 637,920 = 637,920 : x
  2. Step 2: Convert to fraction form
    309,032/637,920 = 637,920/x
  3. Step 3: Cross multiply
    309,032x = 637,920 × 637,920
  4. Step 4: Simplify right side
    309,032x = 406,941,926,400
  5. Step 5: Solve for x
    x = 406,941,926,400/309,032
  6. Step 6: Final answer
    x = 1,316,827.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.