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Finding the Third Proportional to 290,872 and 634,304

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Solution

The third proportional to 290,872 and 634,304 is: 1,383,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,872 : 634,304 = 634,304 : x
  2. Step 2: Convert to fraction form
    290,872/634,304 = 634,304/x
  3. Step 3: Cross multiply
    290,872x = 634,304 × 634,304
  4. Step 4: Simplify right side
    290,872x = 402,341,564,416
  5. Step 5: Solve for x
    x = 402,341,564,416/290,872
  6. Step 6: Final answer
    x = 1,383,225.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.