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Finding the Third Proportional to 289,988 and 636,712

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Solution

The third proportional to 289,988 and 636,712 is: 1,397,996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,988 : 636,712 = 636,712 : x
  2. Step 2: Convert to fraction form
    289,988/636,712 = 636,712/x
  3. Step 3: Cross multiply
    289,988x = 636,712 × 636,712
  4. Step 4: Simplify right side
    289,988x = 405,402,170,944
  5. Step 5: Solve for x
    x = 405,402,170,944/289,988
  6. Step 6: Final answer
    x = 1,397,996.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.