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Finding the Third Proportional to 289,767 and 634,893

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Solution

The third proportional to 289,767 and 634,893 is: 1,391,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,767 : 634,893 = 634,893 : x
  2. Step 2: Convert to fraction form
    289,767/634,893 = 634,893/x
  3. Step 3: Cross multiply
    289,767x = 634,893 × 634,893
  4. Step 4: Simplify right side
    289,767x = 403,089,121,449
  5. Step 5: Solve for x
    x = 403,089,121,449/289,767
  6. Step 6: Final answer
    x = 1,391,080.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.